STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br#
FUNCTIONAL EQUATION

doi:10.1016/S0252-9602(12)60094-0

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1226-1238.doi: 10.1016/S0252-9602(12)60094-0

STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION

Ali Ebadian¹|Ismail Nikoufar¹|Themistocles M. Rassias²|Norouz Ghobadipour³

1. Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, Iran；
2. Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece；
3. Department of Mathematics, Urmia University, Urmia, Iran

收稿日期:2011-01-14 修回日期:2011-02-15 出版日期:2012-05-20 发布日期:2012-05-20

STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION

Ali Ebadian¹|Ismail Nikoufar¹|Themistocles M. Rassias²|Norouz Ghobadipour³

1. Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, Iran；
2. Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece；
3. Department of Mathematics, Urmia University, Urmia, Iran

Received:2011-01-14 Revised:2011-02-15 Online:2012-05-20 Published:2012-05-20

摘要/Abstract

摘要：

In this article, we introduce the notion of generalized derivations on Hilbert C*-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen type functional equation
rf(x + y/r ) + sg(x − y/s ) = 2h(x)
for r, s∈R\ {0} on Hilbert C*-modules, where f, g, and h are mappings from a Hilbert C*-module M to M.

关键词: Hyers-Ulam-Rassias stability, Hilbert C*-module, generalized derivation fixed point

Abstract:

Key words: Hyers-Ulam-Rassias stability, Hilbert C*-module, generalized derivation fixed point

中图分类号:

39B52

Ali Ebadian, Ismail Nikoufar, Themistocles M. Rassias, Norouz Ghobadipour. STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION[J]. 数学物理学报(英文版), 2012, 32(3): 1226-1238.

Ali Ebadian, Ismail Nikoufar, Themistocles M. Rassias, Norouz Ghobadipour. STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION[J]. Acta mathematica scientia,Series B, 2012, 32(3): 1226-1238.

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STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION

STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION

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