Nonsurjective nearisometries of Banach spaces

2001/12/28 by Peter Šemrl, Peter Semrl, Semrl, Peter +3 · 1 citation
Mathematics · #46B04 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #math.FA #msc:46B04

paper · pdf · doi:10.48550/arxiv.math/0112294

11 pages

openalex publication_date 2001/12/28 · arxiv created 2002/01/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain sharp approximation results for into nearisometries between Lp spaces and nearisometries into a Hilbert space. Our main theorem is the optimal approximation result for nearsurjective nearisometries between general Banach spaces.

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• Surjective Mappings in the Hyers--Ulam Theorem and the Gromov--Hausdorff Distance

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