On GNS representations on inner product spaces. I. The structure of the representation space

DOI10.1007/s002200050270zbMath0889.46021OpenAlexW1655513031MaRDI QIDQ1377053

Gerald Hofmann

Publication date: 1 February 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050270

zbMATH Keywords

tensor algebrasKrein spaceGNS construction\(J\)-representationGram operatorcontinuity condition (H)positively dominated functionalsrepresentation invariantunital *-algebra

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

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