Unbounded extensions and operator moment problems

DOI10.1016/j.jfa.2011.01.015zbMath1215.47015OpenAlexW2078240805MaRDI QIDQ531817

Florian-Horia Vasilescu, Ernst Albrecht

Publication date: 20 April 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.01.015

zbMATH Keywords

selfadjoint extensionsnormal extensionsoperator moment problems

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (10)

Complete positivity and a quaternionic moment problem ⋮ Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations ⋮ Quantized moment problem ⋮ Unbounded subnormal weighted shifts on directed trees ⋮ Normal extensions of subnormal linear relations via quaternionic Cayley transforms ⋮ An operator-valued generalization of Tchakaloff's theorem ⋮ Positive functionals on some spaces of fractions ⋮ Quaternionic Cayley transform revisited ⋮ Unbounded subnormal composition operators in \(L^2\)-spaces ⋮ Local operator algebras, fractional positivity and the quantum moment problem

Cites Work

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• The multidimensional moment problem
• The complex moment problem and subnormality: A polar decomposition approach
• Subalgebras of \(C^ *\)-algebras
• Solving the truncated moment problem solves the full moment problem
• Local operator algebras, fractional positivity and the quantum moment problem
• Spectral Theory for Operators on a Banach Space
• Selfadjoint Algebras of Unbounded Operator. II
• Spaces of fractions and positive functionals
• Positive Functions on C ∗ -Algebras

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