On the denseness of minimum attaining operator-valued functions

DOI10.1080/03081087.2021.2022085OpenAlexW4206655262MaRDI QIDQ6102239

B. Madhav Reddy, Jadav Ganesh

Publication date: 8 May 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.2022085

zbMATH Keywords

operator-valued functionsminimum attaining operatorsreduced minimum attaining operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Operators that attain their minima
• Operators that attain reduced minimum
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• The Elements of Operator Theory
• On the denseness of minimum attaining operators
• Perturbations by norm attaining operators
• Finite rank harmonic operator-valued functions
• Harnack's theorem for harmonic compact operator-valued functions
• Denseness for norm attaining operator-valued functions

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