Topological algebras of operators

DOI10.1016/0034-4877(72)90012-2zbMath0252.46087OpenAlexW2067964916MaRDI QIDQ2557438

Gerd Lassner

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0034-4877(72)90012-2

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) General theory of (C^*)-algebras (46L05) Linear spaces of operators (47L05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (86)

Some topics in pre-Hilbert space ⋮ On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality ⋮ On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator ⋮ Algebras of unbounded operators in quantum field theory ⋮ Algebras of unbounded operators and quantum dynamics ⋮ A Commutant of an Unbounded Operator Algebra ⋮ The completion of the maximal \(Op^ *\)-algebra on a Frechet domain ⋮ Commutants of a family of operators on a partial inner product space ⋮ Unnamed Item ⋮ Cyclic generalized vectors for algebras of unbounded operators ⋮ Unnamed Item ⋮ Completely positive conjugate-bilinear maps on partial *-algebras ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ Decomposition of positive functionals of commutative *-algebras ⋮ Unbounded nilpotents and idempotents ⋮ Modular structure of algebras of unbounded operators ⋮ Modular systems induced by trace functionals on algebras of unbounded operators ⋮ Derivations on Algebras of Unbounded Operators ⋮ Spatial Theory for Algebras of Unbounded Operators. II ⋮ V*-algebras: A particular class of unbounded operator algebras ⋮ An unbounded generalization of Tomita's observable algebras ⋮ Spatial theory of *-automorphisms of partial O*-algebras ⋮ Positive cones in enveloping algebras ⋮ The uniform and the strong topology on realizations of the algebra of polynomials ⋮ On the continuity of entropy ⋮ Integral decomposition of unbounded operator families ⋮ Unbounded generalizations of left-Hilbert algebras ⋮ An unbounded generalization of Tomita's observable algebras. 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Cites Work

• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Analytic vectors
• Quasi-analytic vectors
• On structure of the algebra of field operators
• Über Realisierungen gewissen *‐Algebren
• Locally multiplicatively-convex topological algebras
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