LOCAL OPERATOR ALGEBRAS FRACTIONAL POSITIVITY AND THE QUANTUM MOMENT PROBLEM

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2011-02-01

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Dosi, Anar

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In the present paper we introduce quantum measures as a concept of quantum functional analysis and develop the fractional space technique in the quantum (or local operator) space framework. We prove that each local operator algebra (or quantum *-algebra) has a fractional space realization. This approach allows us to formulate and prove a noncommutative Albrecht-Vasilescu extension theorem, which in turn solves the quantum moment problem.

Subject Keywords

Applied Mathematics, General Mathematics

URI

https://hdl.handle.net/11511/63574

Journal

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/s0002-9947-2010-05145-1

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Department of Mathematics, Article

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Citation Formats

A. Dosi, “LOCAL OPERATOR ALGEBRAS FRACTIONAL POSITIVITY AND THE QUANTUM MOMENT PROBLEM,” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 801–856, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63574.