The order structure of topological \(^*\)-algebras of unbounded operators. I

DOI10.1016/0034-4877(75)90028-2zbMath0318.46067OpenAlexW2010540482MaRDI QIDQ1222361

Konrad Schmüdgen

Publication date: 1975

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(75)90028-2

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Representations of topological algebras with involution (46K10) Convex sets and cones of operators (47L07) Ordered topological linear spaces, vector lattices (46A40)

Related Items (15)

On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality ⋮ Cyclic generalized vectors for algebras of unbounded operators ⋮ Gelfand–Naimark theorems for ordered -algebras ⋮ Uniform topologies on enveloping algebras ⋮ On topologization of unbounded operator algebras ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Topological \(^*\)-algebras with \(C^*\)-enveloping algebras. II ⋮ An unbounded generalization of the Tomita-Takesaki theory ⋮ Uniform topologies and strong operator topologies of polynomial algebras and on the algebra of CCR ⋮ On Inner Characterizations of Aõ-Algebras and some Applications to Calkin Algebras and Symmetric Tensor-Algebras ⋮ Spatiality of derivations of Fréchet GB$^{*}$-algebras ⋮ On trace representation of linear functionals on unbounded operator algebras ⋮ Noncommutative Orlicz Spaces and Generalized Arens Algebras ⋮ Graded and filtrated topological *-algebras. I: Graded normal topologies ⋮ Selfadjoint Representations of Polynomial Algebras

Cites Work

• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Un résultat sur le dual d'une \(C^*\)-algèbre
• Ordered linear spaces
• On representing \(F^ *\)-algebras
• Topological algebras of operators
• On structure of the algebra of field operators
• Über Realisierungen gewissen *‐Algebren
• The space 𝐿^{𝜔} and convex topological rings
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