Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces

The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood. It is shown that this leads to new nonlinear spectral calculus inequalities, as well as a unified framework for...

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Bibliographic Details
Main Authors: Mendel Manor, Naor Assaf
Format: Article
Language:English
Published: De Gruyter 2013-05-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.2478/agms-2013-0003