Decomposition and disintegration of positive definite kernels on convex *-semigroups

DOI10.4064/ap-56-3-243-294zbMath0788.47030OpenAlexW20982404MaRDI QIDQ3993885

Jan Stochel

Publication date: 13 August 1992

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-56-3-243-294

zbMATH Keywords

complete positivity\(*\)-semigroups of bounded shift operatorscanonical decomposition into a degenerate and a nondegenerate partcommutative \(W^*\)-algebrasholomorphic charactersKolmogorov-Aronszajn type factorizationsoperator-valued positive definite kernels on a convex \(*\)-semigrouprepresenting measure of a positive definite holomorphic mapping

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Groups and semigroups of linear operators (47D03) General theory of topological algebras with involution (46K05)

Related Items (7)

Moment-sequence transforms ⋮ Conditional positive definiteness in operator theory ⋮ Two-moment characterization of spectral measures on the real line ⋮ On \(n\)th roots of bounded and unbounded quasinormal operators ⋮ Polynomial representations of \(C^\ast\)-algebras and their applications ⋮ Subnormal \(n\)th roots of quasinormal operators are quasinormal ⋮ Complete hyperexpansivity, subnormality and inverted boundedness conditions.

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