ARENS REGULARITY OF QUASI-MULTIPLIERS

被引:0
作者
Adib, Marjan [1 ]
机构
[1] Payamenoor Univ PNU, Dept Math, Tehran, Iran
来源
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2018年 / 80卷 / 04期
关键词
Quasi-multiplier; multiplier; Banach algebra; second dual; Arens product; topological center;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Assume that A is a Banach algebra and m : A x A -> A is a quasi-multiplier on A. In this paper, we will study the relation between Arens regularities of m and A. Also, we define the quasi-multipliers on the dual of a Banach algebra A and we give a simple criterion for Arens regularity of a bounded quasi-multiplier of A* : Also, we investigate those conditions under which the space of all quasi-multipliers of A* is Arens regular.
引用
收藏
页码:199 / 206
页数:8
相关论文
共 15 条
[1]  
Adib M, 2017, B IRAN MATH SOC, V43, P1323
[2]   QUASI-MULTIPLIERS OF THE DUAL OF A BANACH ALGEBRA [J].
Adib, M. ;
Riazi, A. ;
Bracic, J. .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2011, 5 (02) :6-14
[3]   COMPLICATIONS OF SEMICONTINUITY IN CSTAR-ALGEBRA THEORY [J].
AKEMANN, CA ;
PEDERSEN, GK .
DUKE MATHEMATICAL JOURNAL, 1973, 40 (04) :785-795
[4]   THE ADJOINT OF A BILINEAR OPERATION [J].
ARENS, R .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (06) :839-848
[5]  
ARIKAN N, 1982, P AM MATH SOC, V84, P525
[6]  
Azar KH, 2014, B IRAN MATH SOC, V40, P505
[7]  
Civin Yood B., 1961, Pacific J Math, V11, P847, DOI DOI 10.2140/PJM.1961.11.847
[8]  
Dales H. G., 2000, LONDON MATH SOC MONO, V24
[9]   A NOTE ON ARENS PRODUCTS [J].
HENNEFELD, J .
PACIFIC JOURNAL OF MATHEMATICS, 1968, 26 (01) :115-+
[10]  
Heuser H., 1982, FUNCTIONAL ANAL