DOI: 10.1112/mtk.70111 ISSN: 0025-5793

Mappings reversing B‐orthogonality

Divya Khurana, Rafał Stypka, Paweł Wójcik
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Abstract

In this article, we prove that among normed spaces of dimension greater than two, only inner product spaces admit nonzero additive mapping which reverse the Birkhoff orthogonality. In fact, such a mapping must be a linear similarity.

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