Hermitian operators and isometries on sums of Banach spaces

DOI10.1017/S0013091500028583zbMath0695.47019MaRDI QIDQ3471081

James E. Jamison, Richard J. Fleming

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hyponormal operatorsadjoint abelian operatorscharacterize the hermitian operators of certain E-sums of Banach spacesrepresentations of the isometries

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

UNBOUNDED HERMITIAN OPERATORS ON KOLASKI SPACES ⋮ Surjective isometries on spaces of vector valued continuous and Lipschitz functions ⋮ Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces ⋮ Surjective isometries on absolutely continuous vector valued function spaces ⋮ Algebraic and topological reflexivity properties of \(l^p(X)\)spaces ⋮ Isometries of the spaces of self-adjoint traceless operators ⋮ Isometries and isometric equivalence of hermitian operators on \(A^{1,p}(X)\) ⋮ Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnov metric ⋮ Algebraic and invariance properties of the group of isometries ⋮ Isometries of some Banach spaces of analytic functions ⋮ Hermitian operators on C(X,E) and the Banach-Stone theorem

Cites Work

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• (KK)-Properties, Normal Structure and Fixed Points of Nonexpansive Mappings in Orlicz Sequence Spaces
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• Linear Functionals Connected with Strong Cesàro Summability
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Adjoint Abelian Operators on Banach Space
• Reflexive Banach spaces not isomorphic to uniformly convex spaces

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