Quantized Moment Problem

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Abstract

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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Keywords

[No Keyword Available], Several-variable operator theory (spectral, Fredholm, etc.), quantised measure, local operator space, Quantizations, deformations for selfadjoint operator algebras, completely \(\alpha\)-contractive, quantised moment problem, Operator spaces (= matricially normed spaces), Operator spaces and completely bounded maps, completely \(\alpha\)-positive, Linear operator methods in interpolation, moment and extension problems

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0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
8

Volume

344

Issue

10

Start Page

627

End Page

630

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CrossRef : 8

Scopus : 13

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SCOPUS™ Citations

13

checked on Jun 12, 2026

Web of Science™ Citations

12

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