Stereotype approximation property and the uniqueness problem for the trace

DOI10.1007/BF02465194zbMath0951.46004MaRDI QIDQ1966305

Sergei S. Akbarov

Publication date: 28 February 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

pseudocomplete spacestereotype approximation propertystereotype locally convex spacespseudosaturated spaceuniqueness problem for the trace

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05)

Related Items (4)

The stereotype approximation property for the algebras \(\mathcal{C}(M)\) of continuous functions on metric spaces ⋮ The stereotype approximation property for the stereotype group algebra of measures ⋮ Stereotype group algebras ⋮ Stereotype algebras with reflection and the double commutant theorem

Cites Work

• B(H) does not have the approximation property
• Pontryagin duality in the theory of topological vector spaces
• Pontryagin duality in the theory of topological modules
• Construction of the cotangent bundle of a locally compact group
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