Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces
Functional Analysis
2022-05-27 v1
Abstract
We study Birkhoff-James orthogonality and its pointwise symmetry in commutative algebras, i.e., the space of all continuous functions defined on a locally compact Hausdorff space that vanish at infinity. We use this characterization to obtain the characterization of Birkhoff-James orthogonality on space defined on any arbitrary measure space. We also do the same for the spaces for .
Cite
@article{arxiv.2205.13078,
title = {Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces},
author = {Babhrubahan Bose},
journal= {arXiv preprint arXiv:2205.13078},
year = {2022}
}