Stability of isometries between groups of invertible elements in Banach algebras
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In this paper we prove the Hyers-Ulam stability of surjective isometries between groups of invertible elements of a unital Banach algebra and C(K), where K is a compact metric space.
Keywordsε-isometry Hyers-Ulam problem Banach algebras
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- Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis I, Amer. Math. Soc. Colloquium Publications, vol. 48, Amer. Math. Soc., Providence, RI, 2000.Google Scholar
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