International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 45, Pages 2377-2381
Stability of multipliers on Banach algebras
1Department of Basic Technology, Yamagata University, Yonezawa 992-8510, Japan
2Department of Mathematics, Nippon Institute of Technology, Miyashiro, Saitama 345-8501, Japan
Received 2 February 2004
Copyright © 2004 Takeshi Miura et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
AbstractSuppose is a Banach algebra without order. We show that an
approximate multiplier is an exact multiplier. We also consider an approximate multiplier on a Banach algebra which need not be without order. If, in addition,
is approximately additive, then we prove the
Hyers-Ulam-Rassias stability of .