Title : Approximately intertwining mappings ( Approximately intertwining mappings )
Authors: Mohammad Sal Moslehian ,
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Abstract
Let A be a Banach algebra, and let E be a weak Banach A-bimodule. An approximately intertwining mapping corresponding to a functional equation E(f ) = 0 is a mapping f :A→E with f(0) = 0suchthat E(f ) ε, and for each a ∈ A the mappings fa(x) = f(ax) − af (x), af(x) = f(xa) −f(x)a, are continuous at a point. In this paper, we show that every approximately intertwining mapping corre- sponding to Cauchy, generalized Jensen or Trif functional equation can be estimated by an intertwining mapping.
Keywords
Stability; Intertwining mapping; Banach algebra; Cauchy equation; Generalized Jensen equation; Trif equation
@article{paperid:102984,
author = {Sal Moslehian, Mohammad},
title = {Approximately intertwining mappings},
journal = {Journal of Mathematical Analysis and Applications},
year = {2007},
volume = {332},
number = {1},
month = {February},
issn = {0022-247X},
pages = {171--178},
numpages = {7},
keywords = {Stability; Intertwining mapping; Banach algebra; Cauchy equation; Generalized Jensen equation; Trif
equation},
}
%0 Journal Article
%T Approximately intertwining mappings
%A Sal Moslehian, Mohammad
%J Journal of Mathematical Analysis and Applications
%@ 0022-247X
%D 2007
