Boolean valued analysis of Banach algebras

DOI10.1134/s0037446623040225OpenAlexW4385196599MaRDI QIDQ6133122

Anatoly G. Kusraev, Semen S. Kutateladze

Publication date: 18 August 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623040225

zbMATH Keywords

Banach algebraKantorovich spaceBoolean valued analysisJordan-Banach algebraKaplansky-Hilbert moduleBaer \(C^{\ast} \)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Nonassociative topological algebras (46H70) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new version of the Gleason-Kahane-Żelazko theorem in complete random normed algebras
• A classification of type I \(AW^*\)-algebras and Boolean valued analysis
• On normed Jordan algebras which are Banach dual spaces
• Functional realization of \(AW^*\)-algebras of type I
• A Gelfand-Neumark theorem for Jordan algebras
• \(C^*\)-algebras and \(W^*\)-algebras.
• Derivations in commutative regular algebras
• Boolean-valued analysis and \(JB\)-algebras
• Derivations of Murray-von Neumann algebras
• Isomorphisms of commutative regular algebras
• The Wickstead Problem
• Jordan algebras of type I
• Derivations of Murray-von Neumann Algebras
• Monotone Complete C*-algebras and Generic Dynamics
• A Transfer Principle from Von Neumann Algebras to AW^∗ -Algebras
• Gleason–Kahane–Zelazko theorems in function spaces
• A survey on local and 2-local derivations on C*- and von Neuman algebras
• Non-commutative geometry, non-associative geometry and the standard model of particle physics
• DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS
• Two Applications of Logic to Mathematics
• Приглашение в булевозначный анализ
• Derivations on Murray–von Neumann algebras
• Jordan algebras of self-adjoint operators
• Modules Over Operator Algebras
• Basic noncommutative geometry
• Изоморфизм между алгеброй измеримых функций и ее подалгеброй асимптотически дифференцируемых функций