10 citations · 12 across the 4 of their papers we have counts for
4 papers
Application of topological radicals to calculation of joint spectral radii
Victor S. Shulman, Yuri V. Turovskii
It is shown that the joint spectral radius of a precompact family of operators on a Banach space is equal to the maximum of two numbers: the joint spectral radius $ρ…
On algebras generated by inner derivations
Tatiana Shulman, Victor Shulman
We look for an effective description of the algebra D_{Lie}(X,B) of operators on a bimodule X over an algebra B, generated by inner derivations. It is shown that in some important…
Beurling-Pollard type theorems
Victor Shulman, Lyudmila Turowska
We establish a version of the Beurling-Pollard theorem for operator synthesis and apply it to derive some results on linear operator equations and to prove a Beurling-Pollard type…
Operator synthesis. I. Synthetic sets, bilattices and tensor algebras
Victor Shulman, Lyudmila Turowska
The interplay between the invariant subspace theory and spectral synthesis for locally compact abelian group discovered by Arveson is extended to include other topics as harmonic a…