Browsing by Author "Dosiev, Anar"

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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
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.