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Nonsurjective nearisometries of Banach spaces

Peter Semrl, Jussi Vaisala

math.FAarXiv:math/0112294

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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