Non-isometric involutive anti-automorphisms
Abdullah Naeem Malik, Tayyab Kamran
TL;DR
This paper presents a non-constructive proof demonstrating the existence of anti-automorphisms that do not preserve valuations, implying they are not isometric.
Contribution
The work provides a novel non-constructive proof showing anti-automorphisms can be non-valuation-preserving and non-isometric.
Findings
Anti-automorphisms can be non-valuation-preserving
Existence of non-isometric anti-automorphisms proven non-constructively
Highlights limitations of valuation-preserving automorphisms
Abstract
We exhibit a non-constructive proof in which anti-automorphisms are not valuation-preserving and hence non-isometric
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Functional Equations Stability Results