On characterization of integrable sesquilinear forms
Anatolij N. Sherstnev, Oleg E. Tikhonov
TL;DR
This paper establishes a precise criterion for when a sesquilinear form can be integrated relative to a faithful normal state on a von Neumann algebra, advancing the mathematical understanding of operator algebra integration.
Contribution
It provides the first necessary and sufficient condition characterizing integrable sesquilinear forms in this context.
Findings
Derived a complete criterion for integrability
Clarified the relationship between sesquilinear forms and states
Enhanced the theoretical framework of von Neumann algebra integration
Abstract
We give necessary and sufficient condition for a sesquilinear form to be integrable with respect to a faithful normal state on a von Neumann algebra.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models