Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GENERALIZED JENSEN'S EQUATIONS IN A HILBERT MODULE

  • An, Jong Su (Department of Mathematics Education Pusan National University) ;
  • Lee, Jung Rye (Department of Mathematics Daejin University) ;
  • Park, Choonkil (Department of Mathematics Hanyang University)
  • Received : 2007.09.03
  • Published : 2007.12.30
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Abstract

We prove the stability of generalized Jensen's equations in a Hilbert module over a unital $C^*$-algebra. This is applied to show the stability of a projection, a unitary operator, a self-adjoint operator, a normal operator, and an invertible operator in a Hilbert module over a unital $C^*$-algebra.

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