d-ISOMETRIC LINEAR MAPPINGS IN LINEAR d-NORMED BANACH MODULES

Title & Authors
d-ISOMETRIC LINEAR MAPPINGS IN LINEAR d-NORMED BANACH MODULES
Park, Choon-Kil; Rassias, Themistocles M.;

Abstract
We prove the Hyers-Ulam stability of linear d-isometries in linear d-normed Banach modules over a unital $\small{C^*-algebra}$ and of linear isometries in Banach modules over a unital $\small{C^*-algebra}$. The main purpose of this paper is to investigate d-isometric $\small{C^*-algebra}$ isomor-phisms between linear d-normed $\small{C^*-algebras}$ and isometric $\small{C^*-algebra}$ isomorphisms between $\small{C^*-algebras}$, and d-isometric Poisson $\small{C^*-algebra}$ isomorphisms between linear d-normed Poisson $\small{C^*-algebras}$ and isometric Poisson $\small{C^*-algebra}$ isomorphisms between Poisson $\small{C^*-algebras}$. We moreover prove the Hyers-Ulam stability of their d-isometric homomorphisms and of their isometric homomorphisms.
Keywords
Hyers-Ulam stability;linear d-normed Banach module over $\small{C^*-algebra}$;isometric isomorphism;d-isometric isomorphism;Cauchy additive mapping;
Language
English
Cited by
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대한수학회논문집, 2008. vol.23. 3, pp.387-399
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APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS,;;

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APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 195
2.
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 1
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