Some Aspects of Boolean Valued Analysis
A.G. Kusraev, S.S. Kutateladze
TL;DR
This paper surveys recent applications of Boolean valued analysis in operator theory and harmonic analysis, highlighting key results like pseudoembedding operators and the Radon-Nikodym Theorem for JB-algebras.
Contribution
It provides an overview of new developments and applications of Boolean valued analysis in various areas of functional analysis and harmonic analysis.
Findings
Analysis of pseudoembedding operators
Solutions to the noncommutative Wickstead problem
Radon-Nikodym Theorem for JB-algebras
Abstract
This is a survey of some recent applications of Boolean valued analysis to operator theory and harmonic analysis. Under consideration are pseudoembedding operators, the noncommutative Wickstead problem, the Radon-Nikodym Theorem for JB-algebras, and the Bochner Theorem for lattice-valued positive definite mappings on locally compact groups.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Banach Space Theory