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2003 LINEAR FUNCTIONAL EQUATIONS IN A HILBERT MODULE
Sei-Qwon Oh, Chun-Gil Park
Taiwanese J. Math. 7(3): 441-448 (2003). DOI: 10.11650/twjm/1500558396

Abstract

We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra in the spirit of G\u avruta, and prove the generalized Hyers-Ulam-Rassias stability of linear functional equations in a Hilbert module over a unital $C^*$-algebra in the spirit of G\u avruta.

Citation

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Sei-Qwon Oh. Chun-Gil Park. "LINEAR FUNCTIONAL EQUATIONS IN A HILBERT MODULE." Taiwanese J. Math. 7 (3) 441 - 448, 2003. https://doi.org/10.11650/twjm/1500558396

Information

Published: 2003
First available in Project Euclid: 20 July 2017

zbMATH: 1054.39018
MathSciNet: MR1998766
Digital Object Identifier: 10.11650/twjm/1500558396

Subjects:
Primary: 39B72 , 47J25

Keywords: $A$-linear , Banach module over Banach algebra , Hilbert module over $C^*$-algebra , stability

Rights: Copyright © 2003 The Mathematical Society of the Republic of China

Vol.7 • No. 3 • 2003
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