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Frames for Metric Spaces

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We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric $${\mathcal {M}}_d$$ M d -frame. Through Lipschitz-free Banach spaces we… Click to show full abstract

We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric $${\mathcal {M}}_d$$ 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.

Keywords: metric spaces; frames metric; spaces frames

Journal Title: Results in Mathematics
Year Published: 2022

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