Non-nuclearity of a Sobolev embedding on an interval

DOI10.1016/j.jat.2013.11.002zbMath1301.46012OpenAlexW1994683066MaRDI QIDQ390774

Jan Lang, David E. Edmunds

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jat.2013.11.002

zbMATH Keywords

operator idealsSobolev embeddingnuclear operators

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)

Related Items (3)

Nuclear embeddings in weighted function spaces ⋮ Nuclearity and non-nuclearity of some Sobolev embeddings on domains ⋮ Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains

Cites Work

• Eigenvalues, embeddings and generalised trigonometric functions
• Approximation numbers of nuclear operators and geometry of Banach spaces
• Eigenvalue distribution of compact operators
• History of Banach Spaces and Linear Operators
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