Mahesh Krishna, K.M.Johnson, P.S.2026-02-042022Results in Mathematics, 2022, 77, 1, pp. -14226383https://doi.org/10.1007/s00025-021-01583-3https://idr.nitk.ac.in/handle/123456789/22685We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric M<inf>d</inf>-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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.FrameLipschitz functionmetric space