KSGNS construction for τ-maps on S-modules and ᵌ0-families

DOI10.7153/OAM-11-45zbMath1382.46046arXiv1511.05755OpenAlexW4235583849MaRDI QIDQ5365256

Harsh Trivedi, Santanu S. Dey

Publication date: 6 October 2017

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05755

zbMATH Keywords

reproducing kernelsHilbert \(C^\ast\)-modules\(C^\ast\)-algebras\(S\)-modulescompletely positive definite kernels\(\alpha\)-completely positive maps\(\tau\)-mapsKSGNS representation

Mathematics Subject Classification ID

(C^*)-modules (46L08) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators on spaces with an indefinite metric (47B50)

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