3 papers
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.OA2024
Birkhoff-James classification of finite-dimensional -algebras
Bojan Kuzma, Sushil Singla
We classify real or complex finite-dimensional -algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James…
math.FA2024
Classification of abelian finite-dimensional -algebras by orthogonality
Bojan Kuzma, Sushil Singla
The main goal of the article is to prove that if and are Birkhoff-James isomorphic -algebras over the fields and , res…