A remark on the spectral order of operators

DOI10.3792/PJA/1195526311zbMath0255.47035OpenAlexW2082639390MaRDI QIDQ5669837

Masatoshi Fujii, Isamu Kasahara

Publication date: 1971

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195526311

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (7)

Vigier's theorem for the spectral order and its applications ⋮ Spectral dominance and commuting chains ⋮ Multidimensional spectral order for selfadjoint operators ⋮ Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential ⋮ On a question of Furuta on chaotic order ⋮ Kolmogorov's complexity for positive definite matrices ⋮ Spectral order for unbounded operators

Cites Work

• On the Lattice of All Join-Endomorphisms of a Lattice
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
• Monotone and Convex Operator Functions
• Unnamed Item

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