Relations between approximation numbers and entropy numbers

DOI10.1006/jath.1994.1064zbMath0811.47020OpenAlexW1976893022MaRDI QIDQ1332290

Hans Triebel

Publication date: 1 May 1995

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1994.1064

zbMATH Keywords

quasi-Banach spaceapproximation numberstriangle inequalityentropy numbersBesov-Hardy- Sobolev spacescompact operators acting on quasi-Banach spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Entropy and approximation numbers of weighted Sobolev spaces via bracketing ⋮ An extension of Milman's reverse Brunn-Minkowski inequality ⋮ Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers ⋮ Extrapolation estimates for entropy numbers ⋮ Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms ⋮ Entropy and approximation numbers of embeddings of weighted Sobolev spaces ⋮ Compact embeddings of Sobolev spaces with power weights perturbed by slowly varying functions ⋮ Some relations between entropy and approximation numbers

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