Paper Information

Title:  SOME RESULTS ON BANACH PRECOMPACT ELEMENTS OF LOCALLY CONVEX ALGEBRAS
Type: PAPER
Author(s): SALEH A.,ZIVAR KAZEMPOUR A.*
 
 *FACULTY OF MATHEMATICAL SCIENCES, UNIVERSITY OF GUILAN
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

Let A* be the dual of the locally convex algebra A with dual topology, and let p be the natural map of A into A** (Here A** denotes the bidual of A with weak* topology). In this paper, we prove that p (A) is a right ideal of A** with respect to the first Arens product if and only if A is a left weak Banach precompact. Also we obtain some related results.

 
Keyword(s): ARENS PRODUCT, ARENS REGULAR, SEMI-SIMPLE, BANACH PRECOMPACT, WEAK BANACH PRECOMPACT
 
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