Extending positive definiteness
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Publication:3082367
DOI10.1090/S0002-9947-2010-05268-7zbMath1213.43006arXiv0906.5410OpenAlexW2021262161MaRDI QIDQ3082367
Jan Stochel, Dariusz Cichoń, Franciszek Hugon Szafraniec
Publication date: 10 March 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.5410
subnormal operatortruncated moment problemcomplex moment problemcompletely positive mappingpositive definite mappingsums of squares (SOS)unitary power dilation
Subnormal operators, hyponormal operators, etc. (47B20) Dilations, extensions, compressions of linear operators (47A20) Moment problems (44A60) Positive definite functions on groups, semigroups, etc. (43A35)
Related Items (13)
The operator approach to the truncated multidimensional moment problem ⋮ Representations and Bochner's theorem for matrix valued group algebras ⋮ Jan Stochel, a stellar mathematician ⋮ On the truncated two-dimensional moment problem ⋮ Unbounded subnormal weighted shifts on directed trees ⋮ Positive type and positive definite functions on matrix valued group algebras ⋮ Dilation theory in finite dimensions: the possible, the impossible and the unknown ⋮ Unitary 𝑁-dilations for tuples of commuting matrices ⋮ A general fibre theorem for moment problems and some applications ⋮ Riesz-haviland criterion for incomplete data ⋮ Unbounded composition operators via inductive limits: Cosubnormal operators with matrix symbols ⋮ Unbounded subnormal composition operators in \(L^2\)-spaces ⋮ The complex moment problem: determinacy and extendibility
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