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Asymptotic properties of isometries

Authors
Jung, SM
Issue Date
Dec-2002
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Keywords
Hyers-Ulam stability; isometry; restricted domain; asymptotic property
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.276, no.2, pp.642 - 653
Journal Title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume
276
Number
2
Start Page
642
End Page
653
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/26775
DOI
10.1016/S0022-247X(02)00399-2
ISSN
0022-247X
Abstract
In this paper, we prove two theorems on the local stability of isometries in connection with (epsilon, p)-isometries. These theorems reveal that a large class of (epsilon, p)-isometries, defined on various restricted domains, are stable. (C) 2002 Elsevier Science (USA). All rights reserved.
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