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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 (fromto)  785797 
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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Dive into the research topics of 'C*Segal algebras with order unit'. Together they form a unique fingerprint.
C*Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
27 May 2014Activity: Talk or presentation types › Invited talk

C*Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
30 Jul 2013Activity: Talk or presentation types › Invited talk

C*Segal Algebras with Order Unit
Martin Mathieu (Invited speaker)
17 Dec 2012Activity: Talk or presentation types › Invited talk