Profile URL: https://hdl.handle.net/20.500.14411/7697
Job Title:Doçent Doktor
Main Affiliation:Mathematics
Status: Former Staff
Name Variants:
Dosiev, A Dosiev, A.
6 results
Scholarly Output Search Results
Now showing 1 - 6 of 6
Article Citation - WoS: 12Citation - Scopus: 13Quantized Moment Problem(Elsevier France-editions Scientifiques Medicales Elsevier, 2007-05-09) Dosiev, Anar; Dosiyev, Anar; Dosiyev, Anar; Mathematics; MathematicsIn 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.Article Citation - WoS: 11Citation - Scopus: 10Cohomology of Sheaves of Frechet Algebras and Spectral Theory(Pleiades Publishing inc, 2005-07) Dosiev, AAWe propose a holomorpbic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.Article Citation - WoS: 21Citation - Scopus: 20Cartan-Slodkowski Spectra, Splitting Elements and Noncommutative Spectral Mapping Theorems(Academic Press inc Elsevier Science, 2006-01) Dosiev, AIn 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.Article Citation - WoS: 6Citation - Scopus: 10A Representation Theorem for Local Operator Spaces(Consultants Bureau/springer, 2007-10) 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.Publication Article Citation - WoS: 6Citation - Scopus: 5Quasispectra of Solvable Lie Algebra Homomorphisms Into Banach Algebras(Polish Acad Sciences inst Mathematics, 2006) Dosiev, AnarWe 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.
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| Journal | Count |
|---|---|
| Functional Analysis and Its Applications | 2 |
| Banach Center Publications | 1 |
| Comptes Rendus. Mathématique | 1 |
| Journal of Functional Analysis | 1 |
| Studia Mathematica | 1 |
Current Page: 1 / 1
Scholarly Output
6
Articles
5
Views / Downloads
2/0
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
56
Scopus Citation Count
58
Patents
0
Projects
0
WoS Citations per Publication
9.33
Scopus Citations per Publication
9.67
Open Access Source
3
Supervised Theses
0
Scopus Quartile Distribution
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