Normal operators and multipliers on complex Banach spaces and a symmetry property of \(L^ 1\)-predual spaces

DOI10.1007/BF02760559zbMath0544.47018MaRDI QIDQ796804

Ehrhard Behrends

Publication date: 1984

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

principle of local reflexivitymultipliers on complex \(L^ 1\)-predual spaces are always normalnormal operators on Banach space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Related Items

A class of hyponormal operators and \(weak^*\)-continuity of hermitian operators, Principle of local reflexivity for operators and quojections, Complex strict and uniform convexity and hyponormal operators, Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications, Normal-equivalent operators and operators with dual of scalar-type, Inner \(M\)-ideals in Banach algebras

Cites Work

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• M-structure and the Banach-Stone theorem
• Structure in real Banach spaces. I and II
• On a Theorem of Fuglede and Putnam^†
• Multiplier representations and an application to the problem whether $A\otimes_\varepsilon X$ determines $A$ and/or $X$.