Induced and reduced unbounded operator algebras

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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.
Lingua originaleEnglish
pagine (da-a)285-292
Numero di pagine8
RivistaAnnali di Matematica Pura ed Applicata
Volume191
Stato di pubblicazionePublished - 2012

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Partial Algebra
Unbounded Operators
Operator Algebras
Algebra
Mathematical operators
Vector spaces
Vector space
Proof by induction
Projection
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cita questo

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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.",
keywords = "Induced representation; reduced representation: unbounded operator algebras",
author = "Camillo Trapani and Fabio Bagarello and Inoue",
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language = "English",
volume = "191",
pages = "285--292",
journal = "Annali di Matematica Pura ed Applicata",
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T1 - Induced and reduced unbounded operator algebras

AU - Trapani, Camillo

AU - Bagarello, Fabio

AU - Inoue, null

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Induced representation; reduced representation: unbounded operator algebras

UR - http://hdl.handle.net/10447/62971

M3 - Article

VL - 191

SP - 285

EP - 292

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

SN - 0373-3114

ER -