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

Title & Authors
ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE
Park, Chun-Gil; Park, Won-Gil;

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 $\small{C^{*}}$-algebra.
Keywords
stability;A-linear;Banach module over Banach algebra;Hilbert module over $\small{C^{*}}$-algebra;
Language
English
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ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS, Communications of the Korean Mathematical Society, 2011, 26, 2, 261
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