A note on stability of non-surjective \(\varepsilon \)-isometries between the positive cones of \(L^p\)-spaces

DOI10.1007/s13226-021-00047-2zbMath1491.46012OpenAlexW3170272236MaRDI QIDQ2065380

Long Fa Sun

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00047-2

zbMATH Keywords

stability\(L^p\)-space\( \varepsilon \)-isometries

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (4)

On phase-isometries between the positive cones of continuous function spaces ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\)

Cites Work

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• ɛ-Isometric Embeddings
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• Stability of Isometries on Banach Spaces

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