6533b86ffe1ef96bd12ce8fc
RESEARCH PRODUCT
Quasi *-algebras of measurable operators
Fabio BagarelloCamillo TrapaniSalvatore Triolosubject
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 PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-03-31 |