0000000000672616

AUTHOR

S. Triolo

showing 2 related works from this author

Some classes of quasi *-algebras

2022

In this paper we will continue the analysis undertaken in [1] and in [2] [20] our investigation on the structure of Quasi-local quasi *-algebras possessing a sufficient family of bounded positive tracial sesquilinear forms. In this paper it is shown that any Quasi-local quasi *-algebras (A, A0), possessing a ”sufficient state” can be represented as non-commutative L2- spaces.

Quasi *-algebras Non-commutative L2-spacesSettore MAT/05 - Analisi MatematicaGeneral Mathematics
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CQ *-algebras of measurable operators

2022

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.

Numerical AnalysisControl and OptimizationBanach C*-modules Non commutative integration Partial algebras of operators.Settore MAT/05 - Analisi MatematicaApplied MathematicsAnalysisMoroccan Journal of Pure and Applied Analysis
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