Entropy numbers of r-nuclear operators in Banach spaces of type q
Thomas Kühn (1984)
Studia Mathematica
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Displaying similar documents to “Characterization of weak type by the entropy distribution of r-nuclear operators”
Entropy numbers of r-nuclear operators in Banach spaces of type q
Type and cotype numbers of operators on Banach spaces
Albrecht Pietsch (1990)
Studia Mathematica
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On weak (r,2)-summing operators and weak Hilbert spaces
Martin Defant, Marius Junge (1990)
Studia Mathematica
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Local entropy moduli and eigenvalues of operators in Banach spaces.
Bernd Carl, Thomas Kühn (1985)
Revista Matemática Iberoamericana
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In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue a generalization of entropy numbers and moduli, and localize these notions in an appropriate way. Many results regarding entropy numbers and moduli can be carried over to local entropy moduli. We investigate relations between local entropy moduli and s-numbers, spectral properties, eigenvalues, absolutely summing operators. As applications, local entropy moduli of identical and diagonal...
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Hans Jarchow, Kamil John (1988)
Czechoslovak Mathematical Journal
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Entropy of -valued operators and diverse applications.
Carl, Bernd, Edmunds, David E. (2001)
Journal of Inequalities and Applications [electronic only]
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Entropy numbers of operators in Banach spaces
Carl, B., Pietsch, A.
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An extension property for Banach spaces
Walden Freedman (2002)
Colloquium Mathematicae
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A Banach space X has property (E) if every operator from X into c₀ extends to an operator from X** into c₀; X has property (L) if whenever K ⊆ X is limited in X**, then K is limited in X; X has property (G) if whenever K ⊆ X is Grothendieck in X**, then K is Grothendieck in X. In all of these, we consider X as canonically embedded in X**. We study these properties in connection with other geometric properties, such as the Phillips properties, the Gelfand-Phillips and weak Gelfand-Phillips...