What does Birkhoff-James orthogonality know about the norm?
Functional Analysis
2021-09-21 v1
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.
Cite
@article{arxiv.2109.09414,
title = {What does Birkhoff-James orthogonality know about the norm?},
author = {Ljiljana Arambašić and Alexander Guterman and Bojan Kuzma and Rajna Rajić and Svetlana Zhilina},
journal= {arXiv preprint arXiv:2109.09414},
year = {2021}
}
Comments
18 pages and 1 figure