Approximately intertwining mappings
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- 作者：Mohammad Sal Moslehian
- 关键词：Stability ; Intertwining mapping ; Banach algebra ; Cauchy equation ; Generalized Jensen equation ; Trif equation
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2007
- 出版时间：1 August 2007
- 年：2007
- 卷：332
- 期：1
- 页码：171-178
- 全文大小：127 K
文摘
Let be a Banach algebra, and let E be a weak Banach -bimodule. An approximately intertwining mapping corresponding to a functional equation is a mapping with f(0)=0 such that
and for each the mappings
are continuous at a point. In this paper, we show that every approximately intertwining mapping corresponding to Cauchy, generalized Jensen or Trif functional equation can be estimated by an intertwining mapping.