From the 1 of 7 linked papers with an AI index.
7 papers
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…
Generating $\psl{2}{q}$ by elements of prime orders and
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
For primes , we determine those for which the projective special linear group $\psl{2}{q}$ over the finite field of order is -generated -- that is, there ex…
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,…
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…