Positive Forms and Dilations

DOI10.2307/2000669zbMath0659.47005OpenAlexW4236571180MaRDI QIDQ3808715

Waclaw Szymanski

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000669

zbMATH Keywords

positive definite functionsoperator moment problemspositive quadratic formFriedrich extension of symmetric operatorsreconstruction of quantum mechanics from the field theory axiomstheory of dilations

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Axiomatic quantum field theory; operator algebras (81T05) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (3)

Operators on anti‐dual pairs: Generalized Krein–von Neumann extension ⋮ Arlinskii's Iteration and its Applications ⋮ The boundedness condition of dilation theory characterizes subnormals and contractions

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