Krein space representations and Radon-Nikodým theorem for local \(\alpha \)-completely positive maps

DOI10.1007/s11785-021-01118-2zbMath1482.46026OpenAlexW3169550526MaRDI QIDQ2046218

Un Cig Ji, Jaeseong Heo

Publication date: 17 August 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01118-2

zbMATH Keywords

Krein spacelocally \(C^*\)-algebraquantized domain\(C^*\)-seminorm(local) \( \alpha \)-completely positive map*-algebra of noncommutative continuous functions\( \rho \)-mapKrein space \(J\)-representation

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quantizations, deformations for selfadjoint operator algebras (46L65)

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