On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality

DOI10.2977/PRIMS/1195168433zbMath0808.46079OpenAlexW1988461406MaRDI QIDQ1328873

Gerald Hofmann

Publication date: 8 August 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168433

zbMATH Keywords

algebraic \(\sharp\)-conestopological tensor algebra

Mathematics Subject Classification ID

General theory of topological algebras with involution (46K05) Tensor products in functional analysis (46M05)

Related Items (5)

An explicit realization of a GNS representation in a Krein-space ⋮ On the cones of \(\alpha\) and generalized \(\alpha\)-positivity for quantum field theories with indefinite metric ⋮ On algebraic \(\sharp\)-cones in topological tensor algebras. II: Closed hulls and extremal rays ⋮ On the GNS representation of generalized free fields with indefinite metric ⋮ Generalized free field-like \(U(1)\)-gauge theories within the Wightman framework

Cites Work

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• Graded and filtrated topological *-algebras. I: Graded normal topologies
• Unbounded GNS representations of a *-algebra in a Krein space
• Regular tensor algebras
• On the locality ideal in the algebra of test functions for quantum fields
• I*-algebras and their applications
• Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields
• The order structure of topological \(^*\)-algebras of unbounded operators. I
• Axioms for Euclidean Green's functions
• From Euclidean to relativistic fields and on the notion of Markoff fields
• On positive functionals on algebras of test functions for quantum fields
• The field algebra and its positive linear functionals
• Topological algebras of operators
• On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
• Krein structures for Wightman and Schwinger functions
• On structure of the algebra of field operators
• Canonical linear transformation on Fock space with an indefinite metric

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