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Stability of isometries between groups of invertible elements in Banach algebras

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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.

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Author information

Authors and Affiliations

  1. School of Mathematics and Computer, Wuhan Textile University, Wuhan, China

    Yunbai Dong

  2. School of Mathematical Sciences, Dalian University of Technology, Dalian, China

    Rui Shi

Authors
  1. Yunbai Dong
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  2. Rui Shi
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Correspondence to Rui Shi.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 49, No. 2, pp. 34–38, 2015

Original Russian Text Copyright © by Yunbai Dong and Rui Shi

The first author is supported by the Natural Science Foundation of China (grant No. 11201353) and the Natural Science Foundation of Fujian Province (grant No. 2011J01020). The second author is supported by the Natural Science Foundation of China (grant No. 11401071), by the Fundamental Research Funds for the Central Universities of China (grant No. DUT13RC(3)70), and by the Doctoral Scientific Research Foundation of Liaoning Province (grant No. 20141028).

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Dong, Y., Shi, R. Stability of isometries between groups of invertible elements in Banach algebras. Funct Anal Its Appl 49, 106–109 (2015). https://doi.org/10.1007/s10688-015-0092-1

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  • DOI: https://doi.org/10.1007/s10688-015-0092-1

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