10 citations · 11 across the 6 of their papers we have counts for
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Topological radicals, V. From algebra to spectral theory
Victor S. Shulman, Yuri V. Turovskii
We introduce and study procedures and constructions in the theory of the joint spectral radius that are related to the spectral theory. In particular we devlop the theory of the sc…
Topological radicals, IV. Frattini theory of Banach Lie algebras
Edward Kissin, Victor S. Shulman, Yuri V. Turovskii
We develop the theory of topological radicals in Banach Lie algebras, consider various ways of constructing such radicals and study a family of (pre)radicals related to subalgebras…
Topological radicals, III. Joint spectral radius
V. S. Shulman, Yu. V. Turovskii
We develop the theory of topological radicals, and in particular the theory of the hypocompact radical. The results are applied for obtaining convenient formulas of calculation of…
Topological radicals, II. Applications to spectral theory of multiplication operators
Victor S. Shulman, Yuri V. Turovskii
We develop the spectral radius technique and the theory of tensor radicals. As applications we obtain numerous results on mutiplication operators in Banach algebras and Operator bi…
Topological radicals, I. Basic properties, tensor products and joint quasinilpotence
Victor S. Shulman, Yuri V. Turovskii
The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.
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…