Topologies and bornologies determined by operator ideals

DOI10.1007/BF01462885zbMath0633.46006OpenAlexW3013657423MaRDI QIDQ1096130

B. George

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164483

zbMATH Keywords

\({\mathcal U}\)- seminorms\({\mathcal U}\)-bornologiescone-prenuclear mapsgenerating bornologiesgenerating topologiesinjective hull of an operator idealquasi-Schwartz operatorssurjective hull of an operator ideal

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (4)

Sequential w‐right continuity and summing operators ⋮ Topological and bornological characterisations of ideals in von Neumann algebras. I ⋮ The Bornologically Surjective Hull of an Operator Ideal on Locally Convex Spaces ⋮ HYPERMEASURE THEORY

Cites Work

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• The injective hull of an operator ideal on locally convex spaces
• On Banach spaces with the Gelfand-Phillips property
• The topology of uniform convergence on order-bounded sets
• Generating Systems of Sets and Quotients of Surjeetive Operator Ideals
• Schwartz Spaces, Nuclear Spaces and Tensor Products
• Characterization of Precompact Maps, Schwartz Spaces and Nuclear Spaces

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