Convergence tensor products and a strict topology

DOI10.1017/S0004972700006092zbMath0444.46003MaRDI QIDQ3887950

Bernd Müller

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

tensor productsstrict topologybounded approximation propertynuclear spacesspace of continuous linear operatorsconvergence vector spacescompact and nuclear operatorsconvergence tensor productsdF-spacesfinest locally convex topology coarser than the continuous convergence structure

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Duality theory for topological vector spaces (46A20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05) Topological linear spaces and related structures (46A99)

Related Items (2)

Algebras of holomorphic functions ⋮ On Schwartz Convergence Vector Spaces

Cites Work

• Limesräume
• Duals of Frechet spaces and a generalization of the Banach-Dieudonne theorem
• On equicontinuity and continuous convergence
• Marinescu-Räume
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• On the finest locally convex topology agreeing with a given topology on a sequence of absolutely convex sets
• Über die \(c\)-Reflexivität von \({\mathcal C}_c(X)\)
• On the Convergence Vector Space ℒ,(E, F) and its Dual Space
• A Generalized Form of Inductive-Limit Topology for Vector Spaces
• Produits tensoriels topologiques et espaces nucléaires

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