Dosiyev, Anar

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https://hdl.handle.net/20.500.14411/7697
Name Variants
Dosiev, A
Dosiev, A.
Dosiev, AA
Dosiev, Anar
D., Anar
D.,Anar
Dosiyev, Anar
A.,Dosiyev
A., Dosiyev
Anar, Dosiyev
Dosiyev,A.
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Doçent Doktor
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Main Affiliation
Mathematics
Status
Former Staff
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WoS Researcher ID

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Scholarly Output

5

Articles

5

Views / Downloads

2/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

55

Scopus Citation Count

58

WoS h-index

5

Scopus h-index

5

Patents

0

Projects

0

WoS Citations per Publication

11.00

Scopus Citations per Publication

11.60

Open Access Source

2

Supervised Theses

0

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JournalCount
Functional Analysis and Its Applications2
Comptes Rendus. Mathématique1
Journal of Functional Analysis1
Studia Mathematica1
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2005 - 20075
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Now showing 1 - 5 of 5
  • Thumbnail Image
    Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Cohomology of Sheaves of Frechet Algebras and Spectral Theory
    (Pleiades Publishing inc, 2005) Dosiev, AA
    We propose a holomorpbic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.
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    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.
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    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.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 10
    A Representation Theorem for Local Operator Spaces
    (Consultants Bureau/springer, 2007) Dosiev, A.
    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.
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    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.