55 citations · 143 across the 24 of their papers we have counts for
5 papers · 1 filter
The Operator Systems of Hankel Matrices and Complex Polynomials
Thomas Sinclair, Shengwei Qiu
We investigate the operator system structure of finite Hankel matrices and its connection with complex polynomials on the real line. Using polynomial matrix spectral factorization,…
The radial derivative on the graded Möbius algebra
Thomas Sinclair
Let be a simple matroid and let be the graded Möbius algebra of its lattice of flats. The ordered-basis weights of flats define an inner product for which the adjoints o…
Approximate factorization properties for operator systems
Roy Araiza, Larissa Kroell, Travis Russell +1
We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorizat…
Finite free convolution via reproducing kernels and squarefree algebras
Thomas Sinclair
We give a structural account of the finite free convolutions of Marcus, Spielman, and Srivastava in terms of reproducing kernel inner products on polynomial spaces and a multilinea…
An operator-theory construction on geometric lattices
Thomas Sinclair
We introduce a canonical operator-theoretic construction associated to a finite geometric lattice, in which a simple nonassociative ``diamond product'' on the lattice basis gives r…