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Asymptotic properties of isometries
Authors:Soon-Mo Jung
Affiliation:Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701 Chochiwon, South Korea
Abstract:
In this paper, we prove two theorems on the local stability of isometries in connection with (ε,p)-isometries. These theorems reveal that a large class of (ε,p)-isometries, defined on various restricted domains, are stable.
Keywords:Hyers-Ulam stability   Isometry   Restricted domain   Asymptotic property
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