On ε-phase-isometries between the positive cones of continuous function spaces

Let K and T be compact Hausdorff spaces, C+(K)={f∈C(K):f(k)≥0forallk∈K} be the positive cone of C(K). In this paper, we prove that if K is a compact Hausdorff perfectly normal space, then for every ε-phase-isometry F:C+(K)→C+(T), there are nonempty closed subset S⊂T and an additive isometry V:C+(K)→...

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Bibliographic Details

Published in:	Indian journal of pure and applied mathematics Vol. 56; no. 2; pp. 728 - 736
Main Authors:	Wang, Wenting, An, Aimin
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.06.2025
Subjects:	Banach spaces Function space Mathematical functions Mathematicians
ISSN:	0019-5588, 0975-7465
Online Access:	Get full text
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