Automatic continuity of biorthogonality preservers between compact C$^*$-algebras and von Neumann algebras
Operator Algebras
2024-02-05 v1 Functional Analysis
Abstract
We prove that every biorthogonality preserving linear surjection between two dual or compact C-algebras or between two von Neumann algebras is automatically continuous.
Keywords
Cite
@article{arxiv.2402.00914,
title = {Automatic continuity of biorthogonality preservers between compact C$^*$-algebras and von Neumann algebras},
author = {Mar\' ia Burgos and Jorge J. Garcés and Antonio M. Peralta},
journal= {arXiv preprint arXiv:2402.00914},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2402.00517