Stability of a linear functional equation in Banach modules

Chun-Gil Park

doi:10.3934/proc.2003.2003.694

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2003, Volume 2003: 694-700. Doi: 10.3934/proc.2003.2003.694 open access

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Stability of a linear functional equation in Banach modules

Chun-Gil Park^1,

1.
Department of Mathematics, Chungnam National University, Daejeon 305-764

Received: August 31, 2002

Revised: March 31, 2003

Published: March 2003

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Abstract

We prove the generalized Hyers-Ulam-Rassias stability of a linear functional equation in Banach modules over a unital C*-algebra.

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Mathematics Subject Classification: Primary 39B52, 47B48, 46L05.

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