Gateaux derivative of matrix norms in operator spaces and operator systems
Operator Algebras
2025-10-07 v1 Functional Analysis
Abstract
We find expressions for the Gateaux derivative of the matrix norms in operator spaces, and operator systems. Some applications of the results to quantum probability measures, states on C-algebras, and Birkhoff-James orthogonality are also presented.
Cite
@article{arxiv.2510.03864,
title = {Gateaux derivative of matrix norms in operator spaces and operator systems},
author = {Sushil Singla},
journal= {arXiv preprint arXiv:2510.03864},
year = {2025}
}