4.5 Article

Frames for Metric Spaces

期刊

RESULTS IN MATHEMATICS
卷 77, 期 1, 页码 -

出版社

SPRINGER BASEL AG
DOI: 10.1007/s00025-021-01583-3

关键词

Frame; metric space; Lipschitz function

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  1. NITK

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We conducted a systematic study on frames for metric spaces, proving that every separable metric space can be measured by a metric M-d-frame. Through Lipschitz-free Banach spaces, we established a correspondence between frames for metric spaces and frames for subsets of Banach spaces. We derived characterizations and stability results for metric frames.
We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric M-d-frame. Through Lipschitz-free Banach spaces we show that there is a correspondence between frames for metric spaces and frames for subsets of Banach spaces. We derive some characterizations of metric frames. We also derive stability results for metric frames.

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