On Perturbed Isometries Between the Positive Cones of Certain Continuous Function Spaces

Let X ,  Y be two compact Hausdorff perfectly normal spaces (in particular, compact metrizable spaces), C ( X ) be the real Banach space of all continuous functions on X , and C + ( X ) be the positive cone of C ( X ). In this paper, we show that if there exists a δ -surjective ε -isometry F : C + (...

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Bibliographic Details

Published in:	Resultate der Mathematik Vol. 78; no. 2; p. 63
Main Authors:	Sun, Longfa, Sun, Yinghua, Wang, Shenghua
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2023 Springer Nature B.V
Subjects:	Approximation Banach spaces Continuity (mathematics) Function space Mathematical functions Mathematicians Mathematics Mathematics and Statistics Primary 46B04 Banach–Stone theorem Isometries Continuous function space 46B20 Secondary 46E15 Hyers–Ulam stability
ISSN:	1422-6383, 1420-9012
Online Access:	Get full text
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