From the 1 of 7 linked papers with an AI index.
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Representations of noncommutative cubes and prisms
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
The paper investigates representations of operator systems generated by free products of cyclic groups to analyze the structure of noncommutative cubes and prisms, examining proper…
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…
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…
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…
Non-linear classification of finite-dimensional simple -algebras
Bojan Kuzma, Sushil Singla
A Banach space characterization of simple real or complex -algebras is given which even characterizes the underlying field. As an application, it is shown that if $\mathfrak A…