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math.OA2025
Gateaux derivative of matrix norms in operator spaces and operator systems
Sushil Singla
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, state…
math.OA2025
Geometry of essential matrix ranges and the Smith-Ward problem for operator systems
Douglas Farenick, Chi-Kwong Li, Sushil Singla
A -tuple of bounded linear selfadjoint operators acting on an infinite-dimensional separable Hilbert space is said to have the Smith-Ward property if the identity map of the ima…
math.FA2025
Linear maps preserving product of involutions
Chi-Kwong Li, Tejbir Lohan, Sushil Singla
An element of the algebra of matrices over a field is called an involution if its square equals the identity matrix. Gustafson, Halmos,…