Operator Ideals with a Trace

DOI10.1002/MANA.19811000105zbMath0473.47033OpenAlexW2061881892WikidataQ56689637 ScholiaQ56689637MaRDI QIDQ3927735

Albrecht Pietsch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1002/mana.19811000105

zbMATH Keywords

eigenvaluetraceoperator idealapproximation number

Mathematics Subject Classification ID

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) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (9)

CARLEMAN INEQUALITIES FOR OPERATORS IN TRACE IDEALS ⋮ Analytic multivalued functions and spectral trace ⋮ An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors ⋮ Traces on operator ideals defined over the class of all Banach spaces and related open problems ⋮ Fredholm theory for operators in an operator ideal with a trace. I ⋮ Advances in Dixmier traces and applications ⋮ Fredholm theory for operators in an operator ideal with a trace. II ⋮ Factorization properties of generalized entropy ideals ⋮ Dixmier traces of operators on Banach and Hilbert spaces

Cites Work

• Entropy numbers, s-numbers, and eigenvalue problems
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