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http://dx.doi.org/10.14403/jcms.2011.24.2.8

LINEAR MAPPINGS IN BANACH MODULES OVER A UNITAL C*-ALGEBRA  

Lee, Jung Rye (Department of Mathematics, Daejin University)
Mo, Kap-Jong (Daegu Educational Training Institute)
Park, Choonkil (Department of Mathematics, Hanyang University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.2, 2011 , pp. 221-238 More about this Journal
Abstract
We prove the Hyers-Ulam stability of generalized Jensen's equations in Banach modules over a unital $C^{\ast}$-algebra. It is applied to show the stability of generalized Jensen's equations in a Hilbert module over a unital $C^{\ast}$-algebra. Moreover, we prove the stability of linear operators in a Hilbert module over a unital $C^{\ast}$-algebra.
Keywords
Banach module over $C^{\ast}$-algebra; generalized Jensen's equation; Hyers-Ulam stability; Hilbert module over $C^{\ast}$-algebra; stable rank 1;
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