Gateaux derivative of matrix norms in operator spaces and operator systems

Published 4 Oct 2025 in math.OA and math.FA | (2510.03864v1)

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

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