Quasi *-algebras of measurable operators

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17 Citazioni (Scopus)

Abstract

Non-commutative Lp-spaces are shown to constitute examples of a class of Banachquasi *-algebras called CQ*-algebras. For p 2 they are also proved to possess asu cient family of bounded positive sesquilinear forms satisfying certain invariance properties.CQ *-algebras of measurable operators over a nite von Neumann algebra are alsoconstructed and it is proven that any abstract CQ*-algebra (X;A0) possessing a su cientfamily of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra ofthis type.
Lingua originaleEnglish
pagine (da-a)289-305
Numero di pagine17
RivistaStudia Mathematica
Volume172
Stato di pubblicazionePublished - 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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