On Birkhoff–James orthogonality preservers between real non-isometric Banach spaces
نویسندگان
چکیده
We present a short proof for the fact that if smooth real Banach spaces of dimension three or higher have isomorphic Birkhoff–James orthogonality structures, then they are (linearly) isometric to each other. This generalizes results Koldobsky and Wójcik. Moreover, in an arbitrary dimension, we construct examples non-isometric pairs non-smooth admit norm preserving homogeneous bicontinuous preservers among them.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2022
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2022.06.004