Direct sum of lower semi-frames in Hilbert spaces

Authors: Mohanarangan, Hemalatha, Johnson, P. Sam, Harikrishanan, P. K.

Source: Gulf Journal of Mathematics. 19:412-423

Subject Terms: Mathematics - Functional Analysis, lower semi-frame, semi-frame, Riesz-Fischer sequence, Convergence and divergence of series and sequences, direct sum, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), General harmonic expansions, frames, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2504.12827
https://zbmath.org/8031473
https://doi.org/10.56947/gjom.v19i2.2803

A proof of $${\mathfrak {L}}^2$$-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to parseval frames: A proof of \({\mathfrak{L}}^2\)-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to Parseval frames

Authors: Gihyun Lee, Max Lein

Source: Monatshefte für Mathematik. 206:597-627

Subject Terms: \(L^2\) boundedness, 35S05, 46B15, 47C15, 47L80, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Pseudodifferential operators as generalizations of partial differential operators, FOS: Physical sciences, Mathematical Physics (math-ph), Linear operators in \(C^*\)- or von Neumann algebras, Functional Analysis (math.FA), Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Mathematics - Functional Analysis, non-commutative \(L^p\) spaces, FOS: Mathematics, pseudodifferential operators, Mathematical Physics, magnetic operators

File Description: application/xml

Access URL: http://arxiv.org/abs/2405.19964

The ball-covering property of non-commutative spaces of operators on Banach spaces

Authors: Bao, Qiyao, Liu, Rui, Shen, Jie

Source: Banach Journal of Mathematical Analysis. 19

Subject Terms: Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, unconditional bases, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, Calkin algebra, non-commutative spaces of operators, ball-covering property, Spaces of operators, tensor products, approximation properties, 46B20, 46B15, 46B28, Noncommutative function spaces, quotient Banach algebras, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2412.07137

$K$-$b$-Frames for Hilbert Spaces and the $b$-Adjoint Operator: \(K\)-\(b\)-frames for Hilbert spaces and the \(b\)-adjoint operator

Authors: Chaimae Mezzat, Samir Kabbaj

Source: Sahand Communications in Mathematical Analysis, Vol 21, Iss 4, Pp 1-26 (2024)

Subject Terms: Summability and bases in topological vector spaces, sesquilinear form, b-frames, hilbert space, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Hilbert space, \(b\)-adjoint, General harmonic expansions, frames, \(K\)-\(b\)-frames, Operators on Hilbert spaces (general), b-adjoint, Forms (bilinear, sesquilinear, multilinear), QA1-939, Mathematics, k-b-frames, \(b\)-frames

File Description: application/xml

Access URL: https://zbmath.org/8019489
https://doi.org/10.22130/scma.2023.2012970.1485
https://doaj.org/article/735b8d07f24e4adb867ce31a1a113ae3

Twenty-five years of greedy bases

Authors: Fernando Albiac, José L. Ansorena, Vladimir Temlyakov

Contributors: Estadística, Informática y Matemáticas, Estatistika, Informatika eta Matematika, Institute for Advanced Materials and Mathematics - INAMAT2, Academica-e

Source: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Subject Terms: 41A65 (Primary) 41A25, 41A46, 41A17, 46B15 (Secondary), Approximation by arbitrary nonlinear expressions, widths and entropy, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Rate of convergence, degree of approximation, And quasi-greedy basis, nonlinear approximation, Functional Analysis (math.FA), Mathematics - Functional Analysis, and quasi-greedy basis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), FOS: Mathematics, greedy, Thresholding greedy algorithm, Almost greedy, thresholding greedy algorithm, Greedy, Nonlinear approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), almost greedy

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2405.20939
https://academica-e.unavarra.es/handle/2454/53645
https://ur.portalcientifico.es/documentos/67842b2c05ff3328ea835bac
https://investigacion.unirioja.es/documentos/67842b2c05ff3328ea835bac

Über ein orthonormiertes Funktionensystem von D. E. Menchoff

Authors: Tandori, Karoly

Source: Publicationes Mathematicae Debrecen. 23:137-140

Subject Terms: Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3567412

Arcs and bases

Authors: Johnson, Gordon G.

Source: Publicationes Mathematicae Debrecen. 19:165-167

Subject Terms: Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3423023

Stability in Banach spaces

Authors: Odell, E.

Contributors: University of Texas at Austin. USA

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: Estabilidad, Isomorphic theory (including renorming) of Banach spaces, 1202.03 Álgebra y Espacios de Banach, 1202 Análisis y Análisis Funcional, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Ramsey theory, stability, Banach Spaces, Espacios de Banach, Geometry and structure of normed linear spaces, 1202.14 Espacio de Hilbert, Research exposition (monographs, survey articles) pertaining to functional analysis, Gowers' dichotomy theorem, Stability

File Description: application/pdf; application/xml

Access URL: http://hdl.handle.net/10662/18830
https://zbmath.org/1894472

Ordinal indices in Banach spaces

Authors: Odell, E.

Contributors: University of Texas at Austin. USA

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: universal space, Isomorphic theory (including renorming) of Banach spaces, Banach space, 1202.03 Álgebra y Espacios de Banach, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Índices ordinales, Ordinal indices, Topology of special sets defined by functions, ordinal index, Espacios de Banach, Function spaces in general topology, Banach spaces, Ordinal and cardinal numbers, Research exposition (monographs, survey articles) pertaining to functional analysis, Classical Banach spaces in the general theory

File Description: application/pdf; application/xml

Access URL: http://hdl.handle.net/10662/17390
https://zbmath.org/2109253

On the convergence and unconditionally convergence of series of operators on Banach spaces

Authors: Aizpuru, A., Gutiérrez-Dávila, A., Sala, A.

Contributors: Universidad de Cádiz

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: Series of operators, convergence, Convergencia, Series de operadores, 1202.01 Álgebra de Operadores, 1202.03 Álgebra y Espacios de Banach, 1202 Análisis y Análisis Funcional, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), series of compact operators, Espacios de Banach, unconditional convergence, Banach spaces, Linear operators defined by compactness properties, Convergence, Banach space of compact linear maps

File Description: application/pdf; application/xml

Access URL: http://hdl.handle.net/10662/17391
https://zbmath.org/2109254

On the approximation of solutions of compact operator equations

Authors: Ioannis K. Argyros

Source: Proyecciones (Antofagasta). 7:29-46

Subject Terms: Banach space, Equations involving nonlinear operators (general), quadratic operator, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, collectively compact operator equations, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns

File Description: application/xml

Access URL: http://www.revistaproyecciones.cl/article/download/2576/2175/
https://zbmath.org/2231026
http://www.revistaproyecciones.cl/article/download/2576/2175
https://www.revistaproyecciones.cl/article/view/2576
https://dialnet.unirioja.es/servlet/articulo?codigo=6953521

About Schauder frames and besselian Schauder frames of Banach spaces: About Schauder frames and Besselian Schauder frames of Banach spaces

Authors: Karkri, Rafik, Zoubeir, Hicham

Subject Terms: Besselian Schauder frame, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, General harmonic expansions, frames, separable weakly sequentially complete Banach space, separable Hilbert space, 01 natural sciences, separable Banach space, Schauder frame, General Mathematics (math.GM), Besselian sequence, 46B03, 46B04, 46B10, 46B15, 46B28, 46B45, FOS: Mathematics, 0101 mathematics, Mathematics - General Mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2110.12092
https://zbmath.org/7920963

Rademacher Chaos in Symmetric Spaces: Rademacher chaos in symmetric spaces.

Authors: Sergey V. Astashkin

Source: The Rademacher System in Function Spaces ISBN: 9783030478896

Subject Terms: Summability and bases in topological vector spaces, exponential integrability, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, decoupling Rademacher chaos, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Rademacher system, 01 natural sciences, Approximation by other special function classes, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Rademacher chaos, 46B20 (primary), 42A55, 42A61 (secondary)

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0006129v1.pdf
http://arxiv.org/abs/math/0006129
https://zbmath.org/1292379
https://zbmath.org/1661571
https://link.springer.com/chapter/10.1007/978-3-030-47890-2_6
https://dialnet.unirioja.es/servlet/articulo?codigo=231137

On equivalent bases in Banach spaces

Authors: T. R. Muradov, B. T. Bilalov

Source: Ukrainian Mathematical Journal. 59:615-619

Subject Terms: minimal system, closeness of vector sequences, basis, 0103 physical sciences, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/s11253-007-0040-1.pdf
https://link.springer.com/article/10.1007/s11253-007-0040-1

A sequentially unconditional Banach space with few operators

Authors: Μανουσακης Αντωνιος(http://users.isc.tuc.gr/~amanousakis), Manousakis Antonios(http://users.isc.tuc.gr/~amanousakis), Argyros, Spiros, 1950-(http://viaf.org/viaf/267109612)

Source: Proceedings of the London Mathematical Society. 91:789-818

Subject Terms: Isomorphic theory (including renorming) of Banach spaces, unconditional basic sequence, unconditionally saturated, Extremal combinatorics, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, indecomposable Banach space, Ramsey theory, Linear spaces of operators, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2234466
https://doi.org/10.1112/s0024611505015388
http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=346032
https://www.cambridge.org/core/journals/proceedings-of-the-london-mathematical-society/article/sequentially-unconditional-banach-space-with-few-operators/7815BC156AAD4C483ACDAD386F9AD631
http://plms.oxfordjournals.org/lookup/doi/10.1112/S0024611505015388
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024611505015388
https://academic.oup.com/plms/article-abstract/91/3/789/1457395
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611505015388
http://purl.tuc.gr/dl/dias/E47E0A5B-DB4D-4A8F-931D-0D155DA8C8D6

Covering a compact set in a Banach space by an operator range of a Banach space with basis

Authors: V. P. Fonf, V. V. Shevchyk, William B. Johnson, A. M. Plichko

Source: Transactions of the American Mathematical Society. 358:1421-1434

Subject Terms: approximation property, compact factorization, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, compact set, 0101 mathematics, Spaces of operators, tensor products, approximation properties, Classical Banach spaces in the general theory, 01 natural sciences, Compactness in Banach (or normed) spaces

File Description: application/xml

Access URL: https://www.ams.org/tran/2006-358-04/S0002-9947-05-04083-3/S0002-9947-05-04083-3.pdf
https://zbmath.org/2242538
https://doi.org/10.1090/s0002-9947-05-04083-3
https://www.ams.org/journals/tran/2006-358-04/S0002-9947-05-04083-3/home.html
https://www.jstor.org/stable/3845531
https://suw.biblos.pk.edu.pl/resourceDetailsBPP&rId=22589
https://dialnet.unirioja.es/servlet/articulo?codigo=2205971
https://www.ams.org/tran/2006-358-04/S0002-9947-05-04083-3/S0002-9947-05-04083-3.pdf

AVERAGING PROPERTIES AND SPREADING MODELS: Averaging properties and spreading models

Authors: Chongsung Lee, Kyugeun Cho

Source: Journal of the Korean Mathematical Society. 42:1017-1030

Subject Terms: Geometry and structure of normed linear spaces, weak Banach-Saks property, Banach-Saks property, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Schlumprecht's space, 0101 mathematics, spreading model, 01 natural sciences

File Description: application/xml

Access URL: http://koreascience.or.kr:80/article/JAKO200507523301648.pdf
https://zbmath.org/2230556
https://doi.org/10.4134/jkms.2005.42.5.1017
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n5_1017
http://www.koreascience.or.kr:80/article/JAKO200507523301648.pdf

Bases of reproducing kernels in de-Branges spaces: Bases of reproducing kernels in de Branges spaces

Authors: Fricain, E.

Contributors: Fricain, Emmanuel

Source: Journal of Functional Analysis. 226:373-405

Subject Terms: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), de Branges spaces, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, reproducing kernels, Riesz bases, [MATH] Mathematics [math], de-Branges spaces, Reproducing kernels, 01 natural sciences, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Linear operators on function spaces (general), Spaces of bounded analytic functions of one complex variable, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, de Branges--Rovnyak spaces, Analysis

File Description: application/pdf; application/xml

Access URL: https://hal.science/hal-04277954v1
https://hal.science/hal-04264553v1
https://hal.science/hal-04207014v1
https://hal.science/hal-04207014v1/document
https://doi.org/10.1016/j.jfa.2004.11.014
https://zbmath.org/2208777
https://doi.org/10.1016/j.jfa.2004.11.014
https://core.ac.uk/display/82316556
https://www.sciencedirect.com/science/article/pii/S0022123605000261
https://math.univ-lille1.fr/~fricain/article-jfa-de-branges.pdf

Weakly null sequences with an unconditional subsequence

Authors: Alexander D. Arvanitakis

Source: Proceedings of the American Mathematical Society. 134:67-74

Subject Terms: unconditional basic sequence, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, weakly null sequence, uniform boundedness, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2006-134-01/S0002-9939-05-07948-7/S0002-9939-05-07948-7.pdf
https://zbmath.org/2212293
https://doi.org/10.1090/s0002-9939-05-07948-7
https://www.jstor.org/stable/info/4098336
https://dialnet.unirioja.es/servlet/articulo?codigo=1396924
https://www.ams.org/proc/2006-134-01/S0002-9939-05-07948-7/S0002-9939-05-07948-7.pdf
https://www.ams.org/journals/proc/2006-134-01/S0002-9939-05-07948-7/home.html

Frames and bases of subspaces in Hilbert spaces

Authors: Mohammad Sadegh Asgari, Amir Khosravi

Source: Journal of Mathematical Analysis and Applications. 308:541-553

Subject Terms: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Applied Mathematics, Associated basis, Atomic resolution of the identity, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Frame, Frame of subspaces, Basis, 0101 mathematics, 01 natural sciences, Analysis, Synthesis operator

File Description: application/xml

Access URL: https://zbmath.org/2189194
https://doi.org/10.1016/j.jmaa.2004.11.036
https://www.sciencedirect.com/science/article/abs/pii/S0022247X0400976X
http://ui.adsabs.harvard.edu/abs/2005JMAA..308..541A/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X0400976X
https://core.ac.uk/display/82456781