Search results for "Partial algebras of operators"

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CQ *-algebras of measurable operators

2022

Abstract We study, from a quite general point of view, a CQ*-algebra (X, đť–€0) 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, đť–€0) 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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Quasi *-algebras of measurable operators

2009

Non-commutative $L^p$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For $p\geq 2$ they are also proved to possess a {\em sufficient} family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra $(\X,\Ao)$ possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

Pure mathematicsClass (set theory)Mathematics::Operator AlgebrasGeneral MathematicsNon-commutative integrationPartial algebras of operatorsFOS: Physical sciencesMathematical Physics (math-ph)Type (model theory)symbols.namesakeVon Neumann algebraSettore MAT/05 - Analisi MatematicaBounded functionsymbolsBanach C*-moduleSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematics
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