Carl's inequality for quasi-Banach spaces

DOI10.1016/j.jfa.2016.05.011zbMath1353.47037arXiv1512.04421OpenAlexW2963922034MaRDI QIDQ306568

Jan Vybíral, Aicke Hinrichs, Anton Kolleck

Publication date: 31 August 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04421

zbMATH Keywords

entropy numberscompressed sensingGelfand numbersCarl's inequality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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 (6)

Entropy numbers of embeddings of Schatten classes ⋮ Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness ⋮ Random sections of \(\ell_p\)-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators ⋮ Entropy numbers of finite-dimensional embeddings ⋮ Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness ⋮ Gelfand numbers of embeddings of Schatten classes

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