Banach-Stone type theorems on uniformly continuous and lipschitz continuous pseudometrics
Katsuhisa Koshino
TL;DR
This paper extends Banach-Stone theorems to spaces of uniformly continuous and Lipschitz continuous pseudometrics, exploring their structural properties and isometric characterizations.
Contribution
It introduces Banach-Stone type theorems specifically for pseudometric spaces with uniform and Lipschitz continuity, broadening classical results.
Findings
Characterization of isometries between pseudometric spaces
Structural insights into uniformly continuous pseudometrics
Extension of Banach-Stone theorems to new classes of spaces
Abstract
In this paper, we shall establish Banach-Stone type theorems on spaces of uniformly continuous and lipschitz continuous pseudometrics.
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Taxonomy
TopicsAdvanced Banach Space Theory · Nonlinear Differential Equations Analysis · Fixed Point Theorems Analysis