On maps that preserve orthogonality in normed spaces

A. Blanco, A. Turnšek

Source record

Source: Crossref

Published: Aug 1, 2006

DOI: 10.1017/s0308210500004674

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Source abstract

We show that every orthogonality-preserving linear map between normed spaces is a scalar multiple of an isometry. Using this result, we generalize Uhlhorn's version of Wigner's theorem on symmetry transformations to a wide class of Banach spaces.

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