Perturbations of norm-additive maps between continuous function spaces

Authors: Sun, Longfa, Sun, Yinghua

Source: Proceedings of the Edinburgh Mathematical Society. 67:1099-1114

Subject Terms: Geometry and structure of normed linear spaces, continuous function spaces, Banach spaces of continuous, differentiable or analytic functions, Isometric theory of Banach spaces, norm-additive maps, Banach-Stone theorem, linear isometries, stability

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Weighted spaces of analytic functions with mixed-Fourier-norm and Toeplitz operators: a survey of recent advances

Authors: Alexey N. Karapetyants, Irina Yu. Smirnova

Source: Boletín de la Sociedad Matemática Mexicana. 31

Subject Terms: Banach spaces of continuous, differentiable or analytic functions

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Access URL: https://zbmath.org/8037498
https://doi.org/10.1007/s40590-025-00757-1

Relative Openness of the Gabor Frame Set on the Hyperbolas: Relative openness of the Gabor frame set on the hyperbolas

Authors: Aleksei Kulikov

Source: Journal of Fourier Analysis and Applications. 31

Subject Terms: Banach spaces of continuous, differentiable or analytic functions, rational functions, relative topology, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, Gabor frames, time-frequency analysis

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Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms

Authors: Albanese, Angela A., Bonet Solves, José Antonio, Ricker, Werner J.

Contributors: Departamento de Matemática Aplicada, Escuela Técnica Superior de Arquitectura, Instituto Universitario de Matemática Pura y Aplicada, Generalitat Valenciana, Agencia Estatal de Investigación, European Regional Development Fund, Repositorio Institucional de la Universitat Politècnica de València Riunet

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Subject Terms: Generalized Cesáro operator, Weighted Banach spaces of analytic functions, Compact operator, Spectrum, Supercyclic, Mean ergodic, Power bounded, Compact operator, Weighted Banach spaces of analytic functions, Cyclic vectors, hypercyclic and chaotic operators, generalized Cesáro operator, compact operator, power bounded, Supercyclic, Mean ergodic, spectrum, supercyclic, Banach spaces of continuous, differentiable or analytic functions, Spectrum, Linear operators on function spaces (general), Power bounded, weighted Banach spaces of analytic functions, mean ergodic, Topological linear spaces of continuous, differentiable or analytic functions, Spectrum, resolvent, Generalized Cesaro operator, MATEMATICA APLICADA, Ergodic theory of linear operators

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Access URL: https://riunet.upv.es/handle/10251/206694

Optimal (ω,c)-asymptotically periodic mild solutions to some fractional evolution equations: Optimal \((\omega,c)\)-asymptotically periodic mild solutions to some fractional evolution equations

Authors: Foko Tiomela, Romario Gildas, N'Guérékata, Gaston Mandata, Mophou, Gisèle

Contributors: Foko Tiomela, Romario Gildas

Source: Fractional Differential Calculus. :1-20

Subject Terms: One-parameter semigroups and linear evolution equations, uniformly convex Banach space, Banach spaces of continuous, differentiable or analytic functions, \((\omega,c)\)-asymptotically periodic function, c)-asymptotically periodic function, fractional evolution equations, reflexive Banach space, [MATH] Mathematics [math], 16. Peace & justice, Fractional partial differential equations, Periodic solutions to PDEs, Optimal mild solution, (ω

File Description: application/pdf; application/xml

Access URL: https://hal.science/hal-03773190v1

Donoho-Logan large sieve principles for the wavelet transform

Authors: Luís Daniel Abreu, Michael Speckbacher

Source: Applied and Computational Harmonic Analysis. 74:101709

Subject Terms: Hardy spaces, maximum Nyquist density, \(L^1\)-minimization, Zernike polynomials, Nontrigonometric harmonic analysis involving wavelets and other special systems, General harmonic expansions, frames, Hardy space, analytic wavelet transform, concentration estimates, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, uncertainty principle, 42C40, 46E15, 30H10, 42C15, 11N36, Banach spaces of continuous, differentiable or analytic functions, FOS: Mathematics, large sieve principle, 0101 mathematics

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Access URL: http://arxiv.org/abs/2210.13056

Characterization of Weighted Mixed Norm Spaces of Analytic Functions Defined in Terms of Conditions on Fourier Coefficients: Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on Fourier coefficients

Authors: Karapetyants, A. N., Smirnova, I. Yu.

Source: Russian Mathematics. 66:46-52

Subject Terms: mixed norm spaces, Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), spaces of analytic functions, Spaces of bounded analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

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Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators: Duality of large Fock spaces in several complex variables and compact localization operators

Authors: Youqi Liu, Xiaofeng Wang

Source: Journal of Function Spaces, Vol 2021 (2021)

Subject Terms: localisation operators, 13. Climate action, Banach spaces of continuous, differentiable or analytic functions, QA1-939, duality, large Fock spaces, compactness, 0101 mathematics, 16. Peace & justice, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), 01 natural sciences, Mathematics

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Access URL: https://downloads.hindawi.com/journals/jfs/2021/6619459.pdf
https://zbmath.org/7319849
https://doi.org/10.1155/2021/6619459
https://doaj.org/article/96f5ad0dc2b04830856d55e86db4dcc7
https://www.hindawi.com/journals/jfs/2021/6619459/
https://downloads.hindawi.com/journals/jfs/2021/6619459.pdf

The space of bounded maps into a Banach space

Authors: Makai, E. jun.

Source: Publicationes Mathematicae Debrecen. 19:177-179

Subject Terms: Function spaces in general topology, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3423035

A remark on universal spaces

Authors: Bosznay, A. P.

Source: Publicationes Mathematicae Debrecen. 27:251-253

Subject Terms: universal space, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences, Banach-Mazur theorem

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Access URL: https://zbmath.org/3714328

On the analytic structure of the $H^\infty$ maximal ideal space: On the analytic structure of the \(H^ \infty\) maximal ideal space.

Authors: Suárez, Daniel

Subject Terms: analytic structure, Gleason part, Ideals, maximal ideals, boundaries, 01 natural sciences, maximal ideal space, Functional Analysis (math.FA), Mathematics - Functional Analysis, bounded analytic function, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Banach spaces of continuous, differentiable or analytic functions, 0103 physical sciences, FOS: Mathematics, Spaces of bounded analytic functions of one complex variable, 0101 mathematics

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Access URL: http://arxiv.org/abs/2201.12707
https://zbmath.org/1998540

Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces: Closure in the logarithmic Bloch norm of Dirichlet type spaces

Authors: Guanlong Bao, Zengjian Lou, Xiaojing Zhou

Source: Complex Analysis and Operator Theory. 15

Subject Terms: Banach spaces of continuous, differentiable or analytic functions, Linear composition operators, Dirichlet-type space, composition operator, Blaschke products, closure, logarithmic Bloch space, 0101 mathematics, Bloch spaces, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s11785-021-01121-7

Thin Sets, Differentiable Functions, and the Category Method: Thin sets, differentiable functions, and the category method

Authors: Kaufman, Robert

Source: The Journal of Fourier Analysis and Applications ISBN: 9780429332838

Subject Terms: Baire category, Baire spaces, Fourier--Stieltjes transform, category method, thin sets, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Banach spaces of continuous, differentiable or analytic functions, Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.), \(M_0\)-set

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Access URL: https://zbmath.org/1115822

Descriptive topology for analysts

Authors: Juan Carlos Ferrando

Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 114

Subject Terms: \(K\)-analytic space, trans-separable space, Talagrand, Noncompact covering properties (paracompact, Lindelöf, etc.), angelic space, Research exposition (monographs, survey articles) pertaining to general topology, Eberlein, Topological spaces with richer structures, analytic space, countably tight space, Corson, \(\mathfrak{G}\)-base, 01 natural sciences, Function spaces in general topology, Duality and reflexivity in normed linear and Banach spaces, Banach spaces of continuous, differentiable or analytic functions, Fréchet-Urysohn space, quasi-Suslin space, cosmic space, Gul'ko, Valdivia compact spaces, Research exposition (monographs, survey articles) pertaining to functional analysis, 0101 mathematics, Lindelöf \(\Sigma\)-space

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Access URL: https://link.springer.com/article/10.1007/s13398-020-00837-z

Intrinsic metrics and Lipschitz functions

Authors: Francis Hirsch

Source: Nonlinear Evolution Equations and Related Topics ISBN: 9783764371074

Subject Terms: Dirichlet forms, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Lipschitz function, abstract Wiener space, 0211 other engineering and technologies, intrinsic metric, 02 engineering and technology, Stochastic analysis, 01 natural sciences, carré du champ operator, Sub-Riemannian geometry, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Dirichlet form, measurable metric

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Access URL: https://zbmath.org/1921147
https://doi.org/10.1007/s000280300001
https://rd.springer.com/chapter/10.1007/978-3-0348-7924-8_2
https://link.springer.com/article/10.1007%2Fs000280300001

On Embedding Theorems for Coinvariant Subspaces of the Shift Operator. II: On embedding theorems for coinvariant subspaces of the shift operator. II.

Authors: Alexei B. Aleksandrov

Source: Complex Analysis, Operators, and Related Topics ISBN: 9783034895415

Subject Terms: shift operator, Hardy spaces, Banach spaces of continuous, differentiable or analytic functions, Blaschke producs, inner functions, 0101 mathematics, 01 natural sciences, \(H^p\)-classes, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

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Access URL: https://zbmath.org/1777259
https://doi.org/10.1023/a:1015379002290
https://pureportal.spbu.ru/ru/publications/on-embedding-theorems-for-coinvariant-subspaces-of-the-shift-oper-2
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-8378-8_5.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-8378-8_5
https://link.springer.com/article/10.1023/A%3A1015379002290

Integrals and Banach spaces for finite order distributions: Integrals and Banach spaces for finite order distributions.

Authors: Erik Talvila

Source: Czechoslovak Mathematical Journal. 62:77-104

Subject Terms: Banach lattices, Measures and integration on abstract linear spaces, Denjoy and Perron integrals, other special integrals, Henstock-Kurzweil integral, Banach lattice, 01 natural sciences, Operations with distributions and generalized functions, regulated function, Functional Analysis (math.FA), Mathematics - Functional Analysis, continuous primitive integral, 26A39, 46B42, 46E15, 46F10, 46G12, 46J10, Mathematics - Classical Analysis and ODEs, Banach spaces of continuous, differentiable or analytic functions, regulated primitive integral, Classical Analysis and ODEs (math.CA), FOS: Mathematics, distributional Denjoy integral, 0101 mathematics

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Access URL: http://arxiv.org/pdf/1110.3715
http://arxiv.org/abs/1110.3715
https://zbmath.org/6054220
https://doi.org/10.1007/s10587-012-0018-5
https://core.ac.uk/display/12903953
https://link.springer.com/article/10.1007/s10587-012-0018-5
https://link.springer.com/content/pdf/10.1007%2Fs10587-012-0018-5.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=3941304
http://ui.adsabs.harvard.edu/abs/2011arXiv1110.3715T/abstract
https://dml.cz/handle/10338.dmlcz/142042

A weak invertibility criterion in the weighted L p -spaces of holomorphic functions in the ball: A weak invertibility criterion in the weighted \(L^p\)-spaces of holomorphic functions in the ball

Authors: F. A. Shamoyan

Source: Siberian Mathematical Journal. 50:1115-1132

Subject Terms: weak invertibility, shift operator, Banach spaces of continuous, differentiable or analytic functions, holomorphic function, Bergman space, 0102 computer and information sciences, 0101 mathematics, cyclic element, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), 01 natural sciences, weighted polynomial approximation

File Description: application/xml

Access URL: https://zbmath.org/5887058
https://link.springer.com/article/10.1007/s11202-009-0123-3
https://link.springer.com/content/pdf/10.1007%2Fs11202-009-0123-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=3100962

A Stone–Weierstrass theorem for Banach function spaces satisfying a certain separation property: A Stone-Weierstrass theorem for Banach function spaces satisfying a certain separation property

Authors: Eggert Briem, Osamu Hatori, Stuart J. Sidney

Source: Journal of Mathematical Analysis and Applications. 353:607-613

Subject Terms: operating functions, Lattices of continuous, differentiable or analytic functions, Operating functions, Banach spaces of continuous, differentiable or analytic functions, Applied Mathematics, Stone–Weierstrass theorem, 0101 mathematics, Separation conditions, Stone-Weierstraß theorem, separation conditions, 01 natural sciences, Analysis, Banach function spaces

File Description: application/xml

Access URL: https://zbmath.org/5553640
https://doi.org/10.1016/j.jmaa.2008.12.012
https://www.sciencedirect.com/science/article/abs/pii/S0022247X08012055
https://core.ac.uk/display/82290950
https://www.sciencedirect.com/science/article/pii/S0022247X08012055

Differentiability of mappings in the geometry of Carnot manifolds

Authors: S. K. Vodopyanov

Source: Siberian Mathematical Journal. 48:197-213

Subject Terms: Carnot-Caratheodory space, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Banach spaces of continuous, differentiable or analytic functions, subriemannian geometry, 0102 computer and information sciences, 0101 mathematics, nilpotent tangent cone, 01 natural sciences, Sub-Riemannian geometry, differentiability of curves and Lipschitz mappings

File Description: application/xml

Access URL: https://zbmath.org/5379352
https://dialnet.unirioja.es/servlet/articulo?codigo=2281703
https://link.springer.com/article/10.1007/s11202-007-0022-4