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Functional Analysis and Its Applications

, Volume 49, Issue 2, pp 106–109 | Cite as

Stability of isometries between groups of invertible elements in Banach algebras

  • Yunbai Dong
  • Rui Shi
Article
  • 92 Downloads

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

ε-isometry Hyers-Ulam problem Banach algebras 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.School of Mathematics and ComputerWuhan Textile UniversityWuhanChina
  2. 2.School of Mathematical SciencesDalian University of TechnologyDalianChina

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