English

Induced and reduced unbounded operator algebras

Mathematical Physics 2012-07-10 v1 math.MP Operator Algebras

Abstract

The induction and reduction precesses of an O*-vector space \M\M obtained by means of a projection taken, respectively, in \M\M itself or in its weak bounded commutant \M\w\M'_\w are studied. In the case where \M\M is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.

Keywords

Cite

@article{arxiv.1207.2021,
  title  = {Induced and reduced unbounded operator algebras},
  author = {Fabio Bagarello and Atsushi Inoue and Camillo Trapani},
  journal= {arXiv preprint arXiv:1207.2021},
  year   = {2012}
}
R2 v1 2026-06-21T21:32:42.571Z