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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2015 Volume 49, Issue 2, Pages 34–38 (Mi faa3188)
Stability of isometries between groups of invertible elements in Banach algebras

Yunbai Donga, Rui Shib

a Wuhan Textile University
b Dalian University of Technology

Abstract: 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.

Keywords: $\varepsilon$-isometry, Hyers–Ulam problem, Banach algebras.

UDC: 517.9

Received: 09.09.2013

DOI: 10.4213/faa3188


 English version: Functional Analysis and Its Applications, 2015, 49:2, 106–109

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© Steklov Math. Inst. of RAS, 2026