2003•Taiwanese Journal of MathematicsRequires access

GENERALIZED JENSENS EQUATIONS IN BANACH MODULES OVER A C∗-ALGEBRA AND ITS UNITARY GROUP

Deok-Hoon Boo, Sei‐Qwon Oh, Chun-Gil Park, Jae Myung Park

Abstract

We prove the generalized Hyers-Ulam-Rassias stability of general- ized Jensens equations in Banach modules over a unital C∗-algebra associ- ated with its unitary group. It is applied to show the stability of generalized Jensens equations in a Hilbert module over a unital C∗-algebra associated with its unitary group.

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Key concepts: Mathematics, Unital, Unitary state, Banach algebra, Pure mathematics, Group (periodic table), Unitary group, Algebra over a field