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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 language | English |
|---|---|
| Pages (from-to) | 785-797 |
| Number of pages | 13 |
| Journal | Journal of Mathematical Analysis and its Applications |
| Volume | 398 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 Feb 2013 |
ASJC Scopus subject areas
- Applied Mathematics
- Analysis
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C*-Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
27 May 2014Activity: Talk or presentation types › Invited talk
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C*-Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
30 Jul 2013Activity: Talk or presentation types › Invited talk
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C*-Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
17 Dec 2012Activity: Talk or presentation types › Invited talk