Composition Operators on Vector-Valued Function Spaces: Composition operators on vector-valued function spaces

Authors: Kim, Sumin

Source: Complex Analysis and Operator Theory. 19

Subject Terms: vector-valued functions, Spaces of vector- and operator-valued functions, composition operators, Linear composition operators, \(H^p\)-spaces, Poisson integrals

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Direct sums and abstract Kadets–Klee properties: Direct sums and abstract Kadets-Klee properties

Authors: Tomasz Kiwerski, Paweł Kolwicz

Source: Bulletin des Sciences Mathématiques. 200:103587

Subject Terms: Banach lattices, Mathematics - Functional Analysis, Köthe-Bochner spaces, Spaces of vector- and operator-valued functions, Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.), vector-valued Banach spaces, FOS: Mathematics, Isometric theory of Banach spaces, infinite direct sums of Banach spaces, Kadets-Klee properties, linear Hausdorff topologies, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2411.09430
https://zbmath.org/7991374
https://doi.org/10.1016/j.bulsci.2025.103587

On vector-valued Hörmander-Beurling spaces: On vector-valued Hörmander-Beurling spaces.

Authors: Villegas G., Jairo

Contributors: Universidad EAFIT. Colombia

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

Subject Terms: Espacios lineales topológicos, Spaces of vector- and operator-valued functions, Topological linear spaces of test functions, distributions and ultradistributions, Espacios de Hörmander-Beurling, 1202 Análisis y Análisis Funcional, 1202.25 Espacios Lineales Topológicos

File Description: application/pdf; application/xml

Access URL: http://hdl.handle.net/10662/17943
https://zbmath.org/1975359

The distance to the functions with range in a given set in Banach spaces of vector-valued continuous functions

Authors: BURLANDO, LAURA

Source: Journal of Approximation Theory. 137:22-41

Subject Terms: Mathematics(all), Numerical Analysis, Applied Mathematics, distance formula, Banach spaces of vector-valued continuous functions, Distance formula, 01 natural sciences, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Spaces of vector- and operator-valued functions, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, best approximation, Analysis

File Description: application/xml

Access URL: https://iris.unige.it/handle/11567/210094
https://dblp.uni-trier.de/db/journals/jat/jat137.html#Burlando05
https://core.ac.uk/display/82235135
https://dialnet.unirioja.es/servlet/articulo?codigo=1338515
https://www.sciencedirect.com/science/article/pii/S0021904505001358
https://hdl.handle.net/11567/210094

Refined limiting imbeddings for Sobolev spaces of vector-valued functions

Authors: Krbec, M. (Miroslav), Schmeisser, H.-J.

Source: Journal of Functional Analysis. 227:372-388

Subject Terms: critical imbeddings, Bessel potential spaces, Vector-valued functions, Lizorkin–Triebel spaces, Exponential Orlicz spaces, Triebel-Lizorkin spaces, Lorentz–Zygmund spaces, limiting imbeddings, envelopes, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Sharp inequalities, vector-valued functions, Lorentz-Zygmund spaces, exponencial Orlicz spaces, Spaces of vector- and operator-valued functions, sharp inequalities, Sobolev spaces, Besov spaces, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, vector valued functions, Limiting imbeddings, Analysis, Envelopes

File Description: application/xml

Access URL: https://zbmath.org/2231226
https://doi.org/10.1016/j.jfa.2005.05.014
http://www.sciencedirect.com/science/article/pii/S0022123605002223
https://core.ac.uk/display/82289706
https://www.sciencedirect.com/science/article/pii/S0022123605002223
http://hdl.handle.net/11104/0111432

Weakly compact composition operators on vector-valued BMOA

Authors: Jussi Laitila

Source: Journal of Mathematical Analysis and Applications. 308:730-745

Subject Terms: composition operators, Applied Mathematics, Linear composition operators, Bounded mean oscillation, 01 natural sciences, Vector-valued analytic functions, Spaces of vector- and operator-valued functions, bounded mean oscillation, Weakly compact composition operators, Linear operators defined by compactness properties, weakly compact operators, 0101 mathematics, spaces of vector-valued analytic functions, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2189208
https://doi.org/10.1016/j.jmaa.2004.12.002
https://core.ac.uk/display/82443972
http://www.sciencedirect.com/science/article/pii/S0022247X04010224
http://ui.adsabs.harvard.edu/abs/2005JMAA..308..730L/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04010224

On some global and local geometric properties of Musielak--Orlicz spaces: On some global and local geometric properties of Musielak-Orlicz spaces

Authors: Hudzik, Henryk, Kowalewski, Wojciech

Source: Publicationes Mathematicae Debrecen. 67:41-64

Subject Terms: points of local uniform rotundity, Geometry and structure of normed linear spaces, Spaces of vector- and operator-valued functions, Musielak-Orlicz sequence space, SU-points, Kadec-Klee property, Luxemburg norm, 0101 mathematics, Amemiya norm, Classical Banach spaces in the general theory, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), compact local uniform rotundity

File Description: application/xml

Access URL: https://zbmath.org/2201543

Topologies on spaces of vector-valued meromorphic functions

Authors: Enrique Jordá

Source: Journal of the Australian Mathematical Society. 78:273-290

Subject Terms: General theory of locally convex spaces, Spaces of vector- and operator-valued functions, Locally convex Fréchet spaces and (DF)-spaces, Topological linear spaces of continuous, differentiable or analytic functions, spaces of vector valued analytic functions, 0101 mathematics, tensor products, Meromorphic functions of one complex variable (general theory), 01 natural sciences, spaces of meromorphic functions

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/14F2A60BA7813022F579DD098EB715B9/S1446788700008089a.pdf/div-class-title-topologies-on-spaces-of-vector-valued-meromorphic-functions-div.pdf
https://zbmath.org/2182609
https://doi.org/10.1017/s1446788700008089
https://dialnet.unirioja.es/servlet/articulo?codigo=2149101
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/14F2A60BA7813022F579DD098EB715B9/S1446788700008089a.pdf/div-class-title-topologies-on-spaces-of-vector-valued-meromorphic-functions-div.pdf
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/topologies-on-spaces-of-vectorvalued-meromorphic-functions/14F2A60BA7813022F579DD098EB715B9

Regularity of the Adjoint State for the Instationary Navier-Stokes Equations: Regularity of the adjoint state for the instationary Navier-Stokes equations

Authors: Rösch, Arnd, Wachsmuth, Daniel

Source: Zeitschrift für Analysis und ihre Anwendungen. 24:103-116

Subject Terms: vector-valued functions, regularity of adjoints, optimal control, Spaces of vector- and operator-valued functions, 4. Education, Regularity of solutions in optimal control, ddc:510, Navier-Stokes equations, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, imbeddings, 16. Peace & justice, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://depositonce.tu-berlin.de/bitstream/11303/15542/1/ppr2004_10.pdf
https://www.ems-ph.org/doi/10.4171/ZAA/1231
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=24&iss=1&rank=4
https://depositonce.tu-berlin.de/handle/11303/15542

A Unified Convergence Theorem: A unified convergence theorem

Authors: Jian Wen Luo, Jun De Wu, Shi Jie Lu

Source: Acta Mathematica Sinica, English Series. 21:315-322

Subject Terms: Quantum Physics, Analysis on general topological groups, Summability and bases in topological vector spaces, uniform convergence principles, Spaces of vector- and operator-valued functions, Matrix methods for summability, infinite matrices, FOS: Physical sciences, matrix theorems, 0101 mathematics, Quantum Physics (quant-ph), 01 natural sciences

File Description: application/xml

Access URL: http://arxiv.org/pdf/1711.06817
http://arxiv.org/abs/1711.06817
https://zbmath.org/2244379
https://doi.org/10.1007/s10114-004-0481-5
https://link.springer.com/content/pdf/10.1007%2Fs10114-004-0481-5.pdf
https://link.springer.com/article/10.1007/s10114-004-0481-5

Some mapping properties of p-summing adjoint operators: Some mapping properties of \(p\)-summing adjoint operators

Authors: Qingying Bu, Przemo T. Kranz

Source: Journal of Mathematical Analysis and Applications. 303:585-590

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Spaces of vector- and operator-valued functions, \(p\)-summing operator, Applied Mathematics, 0101 mathematics, projective tensor product, Spaces of operators, tensor products, approximation properties, 01 natural sciences, almost unconditionally summable sequence, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X04007103
http://ui.adsabs.harvard.edu/abs/2005JMAA..303..585B/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04007103
https://core.ac.uk/display/81213022

On the topological reflexivity of the isometry group of the suspension of B(H): On the topological reflexivity of the isometry group of the suspension of \(B(H)\)

Authors: Máté Győry

Source: Studia Mathematica. 166:287-303

Subject Terms: Linear operators on Banach algebras, surjective isometries, Spaces of vector- and operator-valued functions, automorphisms, reflexivity, suspension, 0101 mathematics, Automorphisms of selfadjoint operator algebras, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences, operator algebras

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89581?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-6
https://www.impan.pl/shop/publication/transaction/download/product/89581?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/3/89581/on-the-topological-reflexivity-of-the-isometry-group-of-the-suspension-of-b-h

A note on two‐weight inequalities for multiple Hardy‐type operators: A note on two-weight inequalities for multiple Hardy-type operators

Authors: Alexander Meskhi

Source: Journal of Function Spaces and Applications, Vol 3, Iss 3, Pp 223-237 (2005)

Subject Terms: Spaces of vector- and operator-valued functions, two-dimensional Hardy operator, boundedness of operator, Linear operators on function spaces (general), QA1-939, Kernel operators, 0101 mathematics, 01 natural sciences, Mathematics, Compactness in Banach (or normed) spaces, Riemann-Liouville operator

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/jfs/2005/361878.pdf
https://zbmath.org/2230682
https://doi.org/10.1155/2005/361878
https://doaj.org/article/cf280d9001854e2fa1149201652ea458
https://core.ac.uk/display/43860686
https://downloads.hindawi.com/journals/jfs/2005/361878.pdf
https://www.hindawi.com/journals/jfs/2005/361878/
http://downloads.hindawi.com/journals/jfs/2005/361878.pdf

On the behavior of weak convergence under nonlinearities and applications

Authors: Eduardo V. Teixeira, Diego R. Moreira

Source: Proceedings of the American Mathematical Society. 133:1647-1656

Subject Terms: Spaces of vector- and operator-valued functions, Nonlinear operators and their properties, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2005-133-06/S0002-9939-04-07876-1/S0002-9939-04-07876-1.pdf
https://zbmath.org/2140180
https://doi.org/10.1090/s0002-9939-04-07876-1
https://www.ams.org/journals/proc/2005-133-06/S0002-9939-04-07876-1/home.html
https://www.ams.org/proc/2005-133-06/S0002-9939-04-07876-1/S0002-9939-04-07876-1.pdf
https://www.jstor.org/stable/4097701

Operator–valued Fourier Multipliers on Periodic Triebel Spaces: Operator-valued Fourier multipliers on periodic Triebel spaces

Authors: Jin Myong Kim, Shangquan Bu

Source: Acta Mathematica Sinica, English Series. 21:1049-1056

Subject Terms: operator-valued Fourier multiplier, Geometry and structure of normed linear spaces, Spaces of vector- and operator-valued functions, Linear operators on function spaces (general), vector-valued Triebel-Lizorkin space, 0101 mathematics, Marcinkiewicz estimate, Multipliers in one variable harmonic analysis, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs10114-004-0453-9.pdf

CONTINUITY OF THE SPECTRAL FACTORIZATION MAPPING: Continuity of the spectral factorization mapping

Authors: Steven Barclay

Source: Journal of the London Mathematical Society. 70:763-779

Subject Terms: Spaces of vector- and operator-valued functions, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Matrix spectral factorization, 01 natural sciences, \(H^p\)-classes

File Description: application/xml

Access URL: https://zbmath.org/2144151
https://doi.org/10.1112/s0024610704005575
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/continuity-of-the-spectral-factorization-mapping/4BB197B802CE3DF5C0794D062C674059
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005575
https://dialnet.unirioja.es/servlet/articulo?codigo=2206147

Hilbert Spaces Unconditional Bases Consisting of Values of Entire Vector-Functions of Order 1/2: Hilbert spaces unconditional bases consisting of values of entire vector-functions of order 1/2

Authors: M. G. Volkova, G. M. Gubreev

Source: Journal of Mathematical Sciences. 124:4861-4866

Subject Terms: Integral operators, unconditional basis, Spaces of vector- and operator-valued functions, dissipative Volterra operator, finite exponential type, 0101 mathematics, Linear accretive operators, dissipative operators, etc, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces, separable Hilbert space, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/B:JOTH.0000042447.85947.cd
https://link.springer.com/content/pdf/10.1023%2FB%3AJOTH.0000042447.85947.cd.pdf

Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen: Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen

Authors: Jeremy T. Tyson, Nageswari Shanmugalingam, Pekka Koskela

Source: Potential Analysis. 21:241-262

Subject Terms: Harmonic analysis on homogeneous spaces, Dirichlet forms, Spaces of vector- and operator-valued functions, Poincaré inequality, Lipschitz function, doubling measure, Inequalities for sums, series and integrals, Cheeger's differentiation theorem, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Dirichlet form, Sobolev space, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2093718
https://doi.org/10.1023/b:pota.0000033331.88514.6e
https://link.springer.com/article/10.1023/B:POTA.0000033331.88514.6e
https://link.springer.com/content/pdf/10.1023/B:POTA.0000033331.88514.6e.pdf
http://www.math.jyu.fi/research/pspdf/242.pdf
https://experts.illinois.edu/en/publications/dirichlet-forms-poincar%C3%A9-inequalities-and-the-sobolev-spaces-of-k

Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity

Authors: Jesús Araujo

Source: Advances in Mathematics. 187:488-520

Subject Terms: Biseparating map, Disjointness preserving, Mathematics(all), automatic continuity, vector-valued differentiable functions, Linear composition operators, biseparating maps, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences, Vector-valued differentiable functions, Spaces of vector- and operator-valued functions, Linear operators on function spaces (general), 0101 mathematics, Automatic continuity

File Description: application/xml

Access URL: https://zbmath.org/2105051
https://doi.org/10.1016/j.aim.2003.09.007
https://www.sciencedirect.com/science/article/pii/S0001870803002871
https://core.ac.uk/display/82606188
https://dialnet.unirioja.es/servlet/articulo?codigo=946150

Approximation of vector valued smooth functions

Authors: Eva C. Farkas

Source: Mathematische Nachrichten. 271:15-21

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Approximation by polynomials, Spaces of vector- and operator-valued functions, approximation property, Spaces of linear operators, topological tensor products, approximation properties, vector valued smooth functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310179