A method of induction the distances with Hilbert structure
Vesna Gotovac, Katerina Helisova, Lev B. Klebanov, Irina V., Volchenkova
TL;DR
This paper introduces a new method for inducing distances within Hilbert spaces, exploring its properties and providing examples of metric spaces that can be embedded into Hilbert spaces.
Contribution
The paper proposes a novel method for inducing distances in Hilbert spaces and analyzes its properties and applications.
Findings
The method successfully induces distances consistent with Hilbert space properties.
Examples demonstrate the embedding of various metric spaces into Hilbert spaces.
Properties of the induced distances are thoroughly studied.
Abstract
A method of induction the distances with Hilbert structure is proposed. Some properties of the method are studied. Typical examples of corresponding metric spaces are discussed. Key words: Hilbert spaces; metric spaces; isometric embedding into Hilbert spaces
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Taxonomy
TopicsAdvanced Measurement and Metrology Techniques