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Representations of noncommutative cubes and prisms
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
Representations of the operator system determined by the canonical generators of the free product of two cyclic groups of order and , or cyclic groups of order , are…
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…
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…
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…
Sequences of operator algebras converging to odd spheres in the quantum Gromov-Hausdorff distance
Tirthankar Bhattacharyya, Sushil Singla
Marc Rieffel had introduced the notion of the quantum Gromov-Hausdorff distance on compact quantum metric spaces and found a sequence of matrix algebras that converges to the space…