The induction and reduction precesses of an O*-vector space M obtained by means of a projection taken, respectively, inMitself or in its weak bounded commutantM w are studied. In the case where M is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.
Bagarello, F., Inoue, A., Trapani, C. (2012). Induced and reduced unbounded operator algebras. ANNALI DI MATEMATICA PURA ED APPLICATA, 191(2), 285-292 [10.1007/s10231-010-0183-9].
Induced and reduced unbounded operator algebras
BAGARELLO, Fabio;TRAPANI, Camillo
2012-01-01
Abstract
The induction and reduction precesses of an O*-vector space M obtained by means of a projection taken, respectively, inMitself or in its weak bounded commutantM w are studied. In the case where M is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.
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