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Abstract We show that in the case in which X and Y are uniformly concave complete pointed metric spaces, every 2-local isometry Δ from Lip 0 ( X ) to… Click to show full abstract
Abstract We show that in the case in which X and Y are uniformly concave complete pointed metric spaces, every 2-local isometry Δ from Lip 0 ( X ) to Lip 0 ( Y ) admits a representation as the sum of a weighted composition operator and a homogeneous Lipschitz functional on, at least, a subspace Y 0 of Y which is isometric to Y. Moreover, Δ is both linear and surjective when X is also separable.
Keywords:
iso reflexivity;
pointed lipschitz;
reflexivity pointed;
lipschitz spaces
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!