Field algebras in quantum theory with indefinite metric. III. Spectrum of modular operator and Tomita's fundamental theorem

DOI10.1007/BF01039201zbMath0642.46063MaRDI QIDQ1101656

K. Yu. Dadashyan, S. S. Khoruzhij

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Pontrjagin space\(WJ^ *\) algebrageneralized Hilbert algebramodular self-conjugate operatorstrongly continuous J-unitary groupTomita's fundamental modular theoremunitary J-involutive algebra

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

On representations of groups and algebras in spaces with indefinite metric

Cites Work

• Tomita's theory of modular Hilbert algebras and its applications
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