Banach partial $*$-algebras: an overview

Antoine, J.

Risultato della ricerca: Article

Abstract

A Banach partial *-algebra is a locally convex partial *-algebra whose total space is a Banach space. A Banach partial *-algebra is said to be of type (B) if it possesses a generating family of multiplier spaces that are also Banach spaces. We describe the basic properties of these objects and display a number of examples, namely, Lp-like function spaces and spaces of operators on Hilbert scales or lattices. Finally we analyze the important cases of Banach quasi *-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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Banach partial $*$-algebras: an overview. / Antoine, J.

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

Risultato della ricerca: Article

Antoine, J. 2019, 'Banach partial $*$-algebras: an overview', Advances in Operator Theory, vol. 4, pagg. 71-98.
Antoine, J. Banach partial $*$-algebras: an overview. Advances in Operator Theory. 2019;4:71-98.
Antoine, J. / Banach partial $*$-algebras: an overview. In: Advances in Operator Theory. 2019 ; Vol. 4. pagg. 71-98.
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