Filters

2006 - 20073
Reset filters

Settings

Institution Author: Dosiev, Anar (16315786100)Publication Index: WoS

Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    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.
  • Thumbnail Image
    Article
    Citation - WoS: 21
    Citation - Scopus: 20
    Cartan-Slodkowski Spectra, Splitting Elements and Noncommutative Spectral Mapping Theorems
    (Academic Press inc Elsevier Science, 2006) Dosiev, A
    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.
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 5
    Quasispectra of Solvable Lie Algebra Homomorphisms Into Banach Algebras
    (Polish Acad Sciences inst Mathematics, 2006) Dosiev, Anar
    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.