DISTORTION IN THE METRIC CHARACTERIZATION OF SUPERREFLEXIVITY IN TERMS OF THE INFINITE BINARY TREE
No Thumbnail Available
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Element
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
The article presents a quantitative refinement of the result of Baudier (Archiv Math., 89 (2007), no. 5, 419-429): the infinite binary tree admits a bilipschitz embedding into an arbitrary non-superreflexive Banach space. According to the results of this paper, we can additionally require that, for an arbitrary epsilon > 0 and an arbitrary non-superreflexive Banach space X, there is an embedding of the infinite binary tree into X whose distortion does not exceed 4 + epsilon .
Description
Keywords
Distortion of a bilipschitz embedding, logarithmic spiral, superreflexive Ba nach space, test space
Turkish CoHE Thesis Center URL
Fields of Science
Citation
0
WoS Q
Q2
Scopus Q
Q2
Source
Volume
25
Issue
2
Start Page
421
End Page
431