6533b82bfe1ef96bd128e1d8
RESEARCH PRODUCT
Bicommutants of reduced unbounded operator algebras
Atsushi InoueFabio BagarelloCamillo Trapanisubject
Unbounded operatorDiscrete mathematicsPure mathematicsReduction (recursion theory)Applied MathematicsGeneral MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Conditional expectationProjection (linear algebra)Unbounded operator algebrasSettore MAT/05 - Analisi MatematicaAlgebra over a fieldBicommutantMathematical PhysicsMathematicsBicommutantdescription
The unbounded bicommutant $(\mathfrak M_{E'})''$ of the {\em reduction} of an O*-algebra $\MM$ via a given projection $E'$ weakly commuting with $\mathfrak M$ is studied, with the aim of finding conditions under which the reduction of a GW*-algebra is a GW*-algebra itself. The obtained results are applied to the problem of the existence of conditional expectations on O*-algebras.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |