6533b7d2fe1ef96bd125f7e5
RESEARCH PRODUCT
Induced and reduced unbounded operator algebras
Fabio BagarelloAtsushi InoueCamillo Trapanisubject
Unbounded operatorDiscrete mathematicsReduction (recursion theory)Applied MathematicsMathematics - Operator AlgebrasFOS: Physical sciencesMathematical Physics (math-ph)Space (mathematics)Centralizer and normalizerPrime (order theory)CombinatoricsProjection (relational algebra)Bounded functionInduced representationreduced representation: unbounded operator algebrasFOS: MathematicsOperator Algebras (math.OA)Mathematics::Representation TheoryMathematical PhysicsMathematicsdescription
The induction and reduction precesses of an O*-vector space \({{\mathfrak M}}\) obtained by means of a projection taken, respectively, in \({{\mathfrak M}}\) itself or in its weak bounded commutant \({{\mathfrak M}^\prime_{\rm w}}\) are studied. In the case where \({{\mathfrak M}}\) is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |