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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 2, Pages 34–38
DOI: https://doi.org/10.4213/faa3188 (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
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DOI: https://doi.org/10.4213/faa3188
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.
Funding agency Grant number
National Natural Science Foundation of China 11201353
11401071
Natural Science Foundation of Fujian Province 2011J01020
Fundamental Research Funds for the Central Universities of China DUT13RC(3)70
Doctoral Scientific Research Foundation of Liaoning Province 20141028
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).
Received: 09.09.2013
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 2, Pages 106–109
DOI: https://doi.org/10.1007/s10688-015-0092-1
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yunbai Dong, Rui Shi, “Stability of isometries between groups of invertible elements in Banach algebras”, Funktsional. Anal. i Prilozhen., 49:2 (2015), 34–38; Funct. Anal. Appl., 49:2 (2015), 106–109
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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