Entropy numbers of operators acting between vector‐valued sequence spaces

DOI10.1002/mana.201100195zbMath1310.47027OpenAlexW1991790934MaRDI QIDQ4921747

David E. Edmunds, Yuri Netrusov

Publication date: 13 May 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100195

zbMATH Keywords

interpolationsequence spacesBesov spacesentropy numbersvector-valued sequence spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Interpolation between normed linear spaces (46B70) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (7)

Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Schütt's theorem for vector-valued sequence spaces ⋮ Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Eigenvalues and entropy moduli of operators in interpolation spaces ⋮ A general one-sided compactness result for interpolation of bilinear operators ⋮ Mapping properties of Fourier transforms

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