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Representations of CCR Algebras in Krein Spaces of Entire Functions

✍ Scribed by M. Mnatsakanova; G. Morchio; F. Strocchi; Yu. Vernov

Book ID
111598044
Publisher
Springer
Year
2003
Tongue
English
Weight
152 KB
Volume
65
Category
Article
ISSN
0377-9017

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πŸ“œ SIMILAR VOLUMES

Unbounded GNS representations of a*-alge
Unbounded GNS representations of a*-algebra in a Krein space
✍ J. -P. Antoine; S. Γ”ta πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 375 KB

Al~traet. Given a \*-algebra 9.I and a linear, nonpositive definite, functional on it, the GNS construction yields a representation of 9./ in an indefinite metric space. We show that, if the functional satisfies a suitable condition, expressed in terms of a conditional expectation on 2, then the rep