Banach partial $*$-algebras: an overview

Camillo Trapani, Jean-Pierre Antoine

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)71-98
Number of pages28
JournalAdvances in Operator Theory
Volume4
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Analysis

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