The existence of a maximizing vector for the numerical range of a compact operator

DOI10.1090/S0002-9939-96-03222-4zbMath0848.47002OpenAlexW1581779453MaRDI QIDQ4875567

G. K. R. Rao, Frank Okoh, Fixman, Uri

Publication date: 24 October 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03222-4

zbMATH Keywords

numerical rangecompact operatormaximizing vectorcomplex Lebesgue space with a unique duality map

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Numerical range, numerical radius (47A12)

Related Items (1)

An eigenvalue problem for the numerical range of a bounded linear operator

Cites Work

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• An eigenvalue problem for the numerical range of a bounded linear operator
• A counterexample on numerical radius attaining operators
• Spectra of products and numerical ranges
• Semi-Inner-Product Spaces
• Numerical Radius Attaining Operators and the Radon-Nikodym Property
• The Numerical Range of Holomorphic Functions in Banach Spaces
• On the Numerical Range of Compact Operators on Hilbert Spaces
• The Geometry of Banach Spaces. Smoothness

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