Banach partial $*$-algebras: an overview

Camillo Trapani, Jean-Pierre Antoine

Risultato della ricerca: Article

Abstract

A Banach partial *-algebra is a locally convex partial *-algebrawhose total space is a Banach space. A Banach partial *-algebra is said to beof type (B) if it possesses a generating family of multiplier spaces that are alsoBanach spaces. We describe the basic properties of these objects and displaya number of examples, namely, Lp-like function spaces and spaces of operatorson Hilbert scales or lattices. Finally we analyze the important cases of Banachquasi *-algebras and CQ-algebras.
Lingua originaleEnglish
pagine (da-a)71-98
Numero di pagine28
RivistaAdvances in Operator Theory
Volume4
Stato di pubblicazionePublished - 2019

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Partial Algebra
Stefan Banach
Algebra
Function Space
Hilbert
Multiplier
Banach space
Partial

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Analysis

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Banach partial $*$-algebras: an overview. / Trapani, Camillo; Antoine, Jean-Pierre.

In: Advances in Operator Theory, Vol. 4, 2019, pag. 71-98.

Risultato della ricerca: Article

Trapani, Camillo ; Antoine, Jean-Pierre. / Banach partial $*$-algebras: an overview. In: Advances in Operator Theory. 2019 ; Vol. 4. pagg. 71-98.
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