Browsing by Author "Dosiyev, Anar"

Now showing 1 - 5 of 5

Citation - WoS: 20
Citation - Scopus: 19
Cartan-Slodkowski Spectra, Splitting Elements and Noncommutative Spectral Mapping Theorems
(Academic Press inc Elsevier Science, 2006) Dosiev, A; Mathematics
In this paper, we prove Slodkowski version of the infinite-dimensional spectral mapping theorem and Cartan-Slodkowski version of the finite-dimensional spectral mapping theorem for nilpotent operator Lie subalgebras with respect to the various noncommutative functional calculi. (C) 2005 Elsevier Inc. All rights reserved.
Citation - WoS: 9
Citation - Scopus: 8
Cohomology of Sheaves of Frechet Algebras and Spectral Theory
(Pleiades Publishing inc, 2005) Dosiev, AA; Mathematics
We propose a holomorpbic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.
Citation - WoS: 12
Citation - Scopus: 13
Quantized Moment Problem
(Elsevier France-editions Scientifiques Medicales Elsevier, 2007) Dosiev, Anar; Dosiyev, Anar; Dosiyev, Anar; Mathematics; Mathematics
In this Note we develop the fractional space technique in the local operator space framework. As the main result we present the noncommutative Albrecht-Vasilescu extension theorem, which in turn solves the quantized moment problem. To cite this article: A. Dosiev, C. R. Acad. Sci. Paris, Ser. 1344 (2007). (c) 2007 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Citation - WoS: 6
Citation - Scopus: 5
Quasispectra of Solvable Lie Algebra Homomorphisms Into Banach Algebras
(Polish Acad Sciences inst Mathematics, 2006) Dosiev, Anar; Mathematics
We propose a noncommutative holomorphic functional calculus on absolutely convex domains for a Banach algebra homomorphism pi of a finite-dimensional solvable Lie algebra g in terms of quasispectra sigma(pi). In particular, we prove that the joint spectral radius of a compact subset in a solvable operator Lie subalgebra coincides with the geometric spectral radius with respect to,a quasispectrum.
Citation - WoS: 5
Citation - Scopus: 9
A Representation Theorem for Local Operator Spaces
(Consultants Bureau/springer, 2007) Dosiev, A.; Mathematics
In this note, we generalize Ruan's representation theorem and propose an Arveson-Hanh-Banach-Webster theorem for local operator spaces. Further, we investigate the decomposability of a complete contraction acting from a unital multinormed C*-algebra to a local operator system into a product of contractions and a unital contractive *-representation, and we study injectivity in both local operator space and local operator system contexts.