Minimal upper bounds of commuting operators

DOI10.1090/S0002-9939-96-03474-0zbMath0863.46037OpenAlexW1683040379MaRDI QIDQ3837579

Nikolai Weaver, Charles A. Akemann

Publication date: 10 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03474-0

zbMATH Keywords

least upper boundminimal upper boundfaithful conditional expectationcommuting selfadjoint elements of a von Neumann algebraspectral order majorant

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (7)

Vigier's theorem for the spectral order and its applications ⋮ Spectral order on \(AW^\ast\)-algebras and its preservers ⋮ Spectral order of operators and range projections ⋮ Multidimensional spectral order for selfadjoint operators ⋮ Eigenvalue comparisons for second-order linear equations with boundary value conditions on time scales ⋮ Quantum spectral symmetries ⋮ Spectral order for Jordan triples

Cites Work

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• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• On groups of automorphisms of operator algebras
• Powers and commutativity of selfadjoint operators
• On the projection of norm one in $W^ *$-algebras
• Semicontinuity and Multipliers of C*-Algebras
• Spectral order and a matrix limit theorem
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
• Order in Operator Algebras
• Order Properties of Bounded Self-Adjoint Operators
• Formes linéaires sur un anneau d'opérateurs

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