Locally convex quasi C*-normed algebras

Fabio Bagarello, Camillo Trapani, Fragoulopoulou, Inoue

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5 Citazioni (Scopus)

Abstract

If A_0 is a C∗-normed algebra and τ a locally convex topology on A_0 making itsmultiplication separately continuous, then A~_0[τ ] (completion of A_0[τ ]) is a locally convexquasi ∗-algebra over A_0, but it is not necessarily a locally convex quasi ∗-algebra overthe C∗-algebra A~0 (completion of A_0). In this article, stimulated by physicalexamples, we introduce the notion of a locally convex quasi C∗-normed algebra, aimingat the investigation of A~0[τ ]; in particular, we study its structure, ∗-representation theoryand functional calculus.
Lingua originaleEnglish
pagine (da-a)593-606
Numero di pagine14
RivistaJournal of Mathematical Analysis and Applications
Volume366
Stato di pubblicazionePublished - 2010

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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