Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Kissin, Edward"'
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:
Kissin, Edward1 (AUTHOR) e.kissin@londonmet.ac.uk, Shulman, Victor S.2 (AUTHOR), Turovskii, Yurii V.2 (AUTHOR)
Publikováno v:
Annals of Functional Analysis. Jan2025, Vol. 16 Issue 1, p1-58. 58p.
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
The paper develops the theory of topological radicals of Banach Lie algebras and studies the structure of Banach Lie algebras with sufficiently many Lie subalgebras of finite codimensions -- the intersection of all these subalgebras is zero. It is sh
Externí odkaz:
http://arxiv.org/abs/1201.1086
Autor:
Kissin, Edward, Shulman, Victor S.
Publikováno v:
Proceedings of the American Mathematical Society, 2002 Dec 01. 130(12), 3605-3608.
Externí odkaz:
https://www.jstor.org/stable/1194402
Autor:
Kissin, Edward, Shulman, Victor S.
Publikováno v:
European Journal of Mathematics; Sep2023, Vol. 9 Issue 3, p1-49, 49p