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arXiv · 2109.09414

What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić·Alexander Guterman·Bojan Kuzma·Rajna Rajić·Svetlana Zhilina
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Abstract

It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in reflexive Banach spaces and can also compute the dimensions of the underlying normed spaces.

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Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, Rajna Rajić, Svetlana Zhilina. 2021-09-20. What does Birkhoff-James orthogonality know about the norm?. https://arxiv.org/abs/2109.09414

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