Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Turovskii, A. P."'
We consider weakly closed transitive algebras of operators containing non-zero compact operators in real Banach spaces (Lomonosov algebras). It is shown that they are naturally divided in three classes: the algebras of real, complex and quaternion cl
Externí odkaz:
http://arxiv.org/abs/2210.10471
In this paper we pursue three aims. The first one is to apply Amitsur's relations and radicals theory to the study of the lattices Id_{A} of closed two-sided ideals of C*-algebras A. We show that many new and many well-known results about C*-algebras
Externí odkaz:
http://arxiv.org/abs/2104.04860
In this paper we discuss the infinite-dimensional generalizations of the famous theorem of Berger-Wang (generalized Berger-Wang formulas) and give an operator-theoretic proof of I. Morris's theorem about coincidence of three essential joint spectral
Externí odkaz:
http://arxiv.org/abs/2005.02743
We discuss Lomonosov's proof of the Pontryagin-Krein Theorem on invariant maximal non-positive subspaces, prove the refinement of one theorem from \cite{OShT} on common fixed points for a group of fractional-linear maps of operator ball and deduce it
Externí odkaz:
http://arxiv.org/abs/2005.02745
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras.
Externí odkaz:
http://arxiv.org/abs/1903.12291
Autor:
Shulman, Victor S., Turovskii, Yuri V.
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 scattered radical. Among applications we find some sufficient conditions
Externí odkaz:
http://arxiv.org/abs/1208.4609
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 and ideals of finite codimension in Banach Lie algebras. It extends t
Externí odkaz:
http://arxiv.org/abs/1208.4594
Autor:
Shulman, V. S., Turovskii, Yu. V.
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 the joint spectral radius of a precompact family of elements in a Bana
Externí odkaz:
http://arxiv.org/abs/1208.4592
Autor:
Shulman, Victor S., Turovskii, Yuri V.
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.
Externí odkaz:
http://arxiv.org/abs/1208.4573
Autor:
Shulman, Victor S., Turovskii, Yuri V.
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 bimodules.
Externí odkaz:
http://arxiv.org/abs/1208.4576