Entropy numbers of embedding maps between Besov spaces with an application to eigenvalue problems

DOI10.1017/S0308210500015341zbMath0508.47041MaRDI QIDQ4746347

Bernd Carl

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviour of entropy numbers of embedding maps between Besov spacesestimation of eigenvalues of operators factorable through embedding maps

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Entropy numbers, s-numbers, and eigenvalue problems ⋮ Entropy numbers of diagonal operators with an application to eigenvalue problems ⋮ Some s‐numbers of embeddings of function spaces with weights of logarithmic type ⋮ Entropy numbers of convex hulls in Banach spaces and applications ⋮ Information-theoretic determination of minimax rates of convergence

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• Sur une propriété métrique de la dimension