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arXiv · 2011.01870

Frames for Metric Spaces

K. Mahesh Krishna·P. Sam Johnson
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Abstract

We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric $\mathcal{M}_d$-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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K. Mahesh Krishna, P. Sam Johnson. 2020-11-03. Frames for Metric Spaces. https://arxiv.org/abs/2011.01870

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