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arXiv · 2510.03864

Gateaux derivative of matrix norms in operator spaces and operator systems

Sushil Singla
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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.

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Sushil Singla. 2025-10-04. Gateaux derivative of matrix norms in operator spaces and operator systems. https://arxiv.org/abs/2510.03864

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