C∗-Segal algebras with order unit

J. Kauppi, M. Mathieu

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We introduce the notion of a (noncommutative) C *-Segal algebra as a Banach algebra (A, {norm of matrix}{dot operator}{norm of matrix} A) which is a dense ideal in a C *-algebra (C, {norm of matrix}{dot operator}{norm of matrix} C), where {norm of matrix}{dot operator}{norm of matrix} A is strictly stronger than {norm of matrix}{dot operator}{norm of matrix} C onA. Several basic properties are investigated and, with the aid of the theory of multiplier modules, the structure of C *-Segal algebras with order unit is determined.
Original languageEnglish
Pages (from-to)785-797
Number of pages13
JournalJournal of Mathematical Analysis and its Applications
Volume398
Issue number2
DOIs
Publication statusPublished - 15 Feb 2013

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

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