Ueda’s peak set theorem for general von Neumann algebras

DOI10.1090/tran/7275zbMath1457.46063arXiv1605.08932OpenAlexW2963881056MaRDI QIDQ4586344

Louis E. Labuschagne, David P. Blecher

Publication date: 13 September 2018

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

Full work available at URL: https://arxiv.org/abs/1605.08932

zbMATH Keywords

noncommutative Hardy spaceKaplansky density theoremsubdiagonal operator algebrasigma-finite von Neumann algebraF \& M Riesz theoremnoncommutative Lebesgue decompositionpeak projection

Mathematics Subject Classification ID

Dual algebras; weakly closed singly generated operator algebras (47L45) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Noncommutative measure and integration (46L51) Consistency and independence results (03E35) Large cardinals (03E55) Noncommutative function spaces (46L52) Ordinal and cardinal numbers (03E10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Nonselfadjoint (sub)algebras in algebras with involution (46K50) Other nonselfadjoint operator algebras (47L75)

Related Items (5)

Quantum measurable cardinals ⋮ The Hoffman-Rossi theorem for operator algebras ⋮ On a class of subdiagonal algebras ⋮ On vector-valued characters for noncommutative function algebras ⋮ Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras

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