A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I

DOI10.1007/BF02345022zbMath0362.46044MaRDI QIDQ1239891

Michel Dubois-Violette

Publication date: 1975

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

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Miscellaneous applications of functional analysis (46N99)

Related Items

Algebras of unbounded operators and vacuum superselection rules in quantum field theory. II. Mathematical structure of vacuum superselection rules, On algebraic \(\sharp\)-cones in topological tensor algebras. II: Closed hulls and extremal rays, On generally covariant quantum field theory and generalized causal and dynamical structures, Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem, Probabilistic aspects of quantum field theory, The notion of observable and the moment problem for \(*\)-algebras and their GNS representations, Lectures on the classical moment problem and its noncommutative generalization, Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields, Complete positivity, tensor products and \(C^*\)-nuclearity for inverse limits of \(C^*\)-algebras, Generally covariant quantum field theory and scaling limits, A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. II, Positivity of Wightman functionals and the existence of local nets, Hermitian K-theory over topological *-algebras, Vector bundles and K-theory over topological algebras, Representations of tensor product l.m.c. *-algebras, Unnamed Item, Unnamed Item

Cites Work

• Théorie des distributions à valeurs vectorielles
• Analytic vectors
• On the algebra of field operators. The weak commutant and integral decompositions of states
• Quasi-analytic vectors
• The quantum problem of moments. I
• Self-adjoint algebras of unbounded operators
• A non-commutative extension of abstract integration
• Quantum Field Theory in Terms of Vacuum Expectation Values
• Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
• An Algebraic Approach to Quantum Field Theory
• On the self-adjointness of field operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item