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http://dx.doi.org/10.4134/BKMS.2003.40.1.053

ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE  

Park, Chun-Gil (DEPARTMENT OF MATHEMATICS, CHUNGNAMNATIONAL UNIVERSITY)
Park, Won-Gil (DEPARTMENT OF MATHEMATICS, CHUNGNAMNATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 53-61 More about this Journal
Abstract
We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra, and prove the generalized Hyers-Ulam-Rassias stability of the Jensen's functional equations in a Hilbert module over a unital $C^{*}$-algebra.
Keywords
stability; A-linear; Banach module over Banach algebra; Hilbert module over $C^{*}$-algebra;
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  • Reference
1 On the stability of the linear mapping in Banach spaces /
[ Th. M. Rassias ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
2 K - Theory for real <TEX>$C^*$</TEX> -algebras and applications /
[ H. Schroder ] / Pitman Research Notes in Math. Ser.
3 Hilbert modules over operator algebras /
[ P. S. Muhly;B. Solel ] / Mem. Amer. Math. Soc.
4 /
[ F. Bonsall;J. Duncan ] / Complete Normed Algebras
5 A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation /
[ Y. Lee;K. Jun ] / J. Math. Anal. Appl.   DOI   ScienceOn
6 On the stability of the Jensen's equation in Banach modules over a Banach algebra /
[ C. Park;W. Park ] / Taiwanese J. Math.