The Bishop-Phelps theorem fails for uniform non-selfadjoint dual operator algebras

DOI10.1006/JFAN.2001.3754zbMath1023.47056OpenAlexW2023731826MaRDI QIDQ5949554

Victor I. Lomonosov

Publication date: 21 November 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3754

zbMATH Keywords

Bishop-Phelps theoremoperators in Hilbert spaceselfadjoint algebrauniform dual algebra

Mathematics Subject Classification ID

Dual algebras; weakly closed singly generated operator algebras (47L45)

Related Items (2)

Modulus support functionals, Rajchman measures and peak functions ⋮ On norm-attaining mappings on Banach spaces

Cites Work

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• Geometry of Banach spaces. Selected topics
• On dentability and the Bishop-Phelps property
• A counterexample to the Bishop-Phelps theorem in complex spaces
• On operators which attain their norm
• A proof that every Banach space is subreflexive

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