Completely positive conjugate-bilinear maps on partial *-algebras

DOI10.1063/1.529037zbMath0745.47040OpenAlexW2004995844MaRDI QIDQ3987389

G. O. S. Ekhaguere, P. O. Odiobala

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529037

zbMATH Keywords

extremal problemRadon-Nikodym theoremorder structureorder intervalsinvariant completely positive conjugate-bilinear maps on an arbitrary unital partial \(*\)-algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Ordered topological linear spaces, vector lattices (46A40) General theory of topological algebras with involution (46K05) Topological algebras of operators (46H35)

Related Items (6)

Representation of completely positive maps between partial *-algebras ⋮ Bitraces on partial \(O^{\ast}\)-algebras ⋮ Completely positive invariant conjugate-bilinear maps in partial *-algebras ⋮ Some characterizations of partial algebras ⋮ Topological Solutions of Noncommutative Stochastic Differential Equations ⋮ Noncommutative mean ergodic theorem for partial \(W^*\)-dynamical semigroups

Cites Work

• Partial\(^*\)-algebras of closed linear operators in Hilbert space
• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• On the Heisenberg commutation relation. II
• Algebras of unbounded operators and quantum dynamics
• Integral decomposition of partial *-algebras of closed operators
• An unbounded generalization of the Tomita-Takesaki theory. II
• Completely positive mappings and unbounded observables
• A Radon-Nikodym theorem for *-algebras
• On the Heisenberg commutation relation. I
• Rigged Hilbert spaces in quantum mechanics
• Subalgebras of \(C^ *\)-algebras
• Topological algebras of operators
• Dirichlet forms on partial *-algebras

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