6533b871fe1ef96bd12d1ac3

RESEARCH PRODUCT

CQ *-algebras of measurable operators

S. Triolo

subject

Numerical AnalysisControl and OptimizationBanach C*-modules Non commutative integration Partial algebras of operators.Settore MAT/05 - Analisi MatematicaApplied MathematicsAnalysis

description

Abstract We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L 2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a direct sum of non-commutative L 2-spaces.

https://doi.org/10.2478/mjpaa-2022-0019