scientific article

zbMath0653.46072MaRDI QIDQ3799180

Jakob Yngvason

Publication date: 1988

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1988__48_2_161_0

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zbMATH Keywords

algebraic quantum field theorynoncommutative moment problemsminimal intersectionBorchers test function algebrakernels of the translationally invariant, strongly positive functionalslocality idealseparating family of finite dimensional representationsstrongly positive, linear functionals on partially symmetric tensor algebras

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99) Tensor products in functional analysis (46M05)

Related Items (5)

Existence of spectral well-behaved \(\ast\)-representations ⋮ Lectures on the classical moment problem and its noncommutative generalization ⋮ A noncommutative moment problem ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Unbounded \(C^*\)-seminorms and \(*\)-representations of partial \(*\)-algebras

Cites Work

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• Noncommutative analogs of probabilistic notions and results
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• Prime field decompositions and infinitely divisible states on Borcher's tensor algebra
• Necessary and sufficient conditions for integral representations of Wightman functional at Schwinger points
• A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I
• On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
• Selfadjoint Algebras of Unbounded Operator. II

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