17 citations · 20 across the 8 of their papers we have counts for
9 papers
Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach
Leiba Rodman, Ilya M. Spitkovsky, Arleta Szkoła +1
We study the continuity of an abstract generalization of the maximum-entropy inference - a maximizer. It is defined as a right-inverse of a linear map restricted to a convex body w…
One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols
Maria Cristina Câmara, Leiba Rodman, Ilya M. Spitkovsky
Conditions are established under which Fredholmness, Coburn's property and one- or two-sided invertibility are shared by a Toeplitz operator with matrix symbol and the Toeplitz…
Numerical ranges of companion matrices: flat portions on the boundary
Jeffrey Eldred, Leiba Rodman, Ilya M. Spitkovsky
Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and…
Non-denseness of factorable matrix functions
Alex Brudnyi, Leiba Rodman, Ilya M. Spitkovsky
It is proved that for certain algebras of continuous functions on compact abelian groups, the set of factorable matrix functions with entries in the algebra is not dense in the gro…
On common invariant cones for families of matrices
Leiba Rodman, Hakan Seyalioglu, Ilya M. Spitkovsky
The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2x2 matrices (with no additional restric…
Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications
L. Rodman, Ilya M. Spitkovsky
It is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same…