Complete projective tensor product of (LB)-spaces

DOI10.1007/BF01193548zbMath0817.46004MaRDI QIDQ1345864

Elisabetta M. Mangino

Publication date: 6 August 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

coincidence of projective and injective topologies on the tensor product of coechelon spacescompletion of the projective tensor products of two complete (LB)-spacesinductive limit of the complete projective tensor product

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05)

Related Items (6)

Contractible Köthe co-echelon algebras ⋮ Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ Real analytic curves in Fréchet spaces and their duals ⋮ Topological amenability and Köthe co-echelon algebras ⋮ A generalization of a theorem of A. Grothendieck ⋮ The Hilbert tensor product and inductive limits

Cites Work

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• A Banach-Dieudonné theorem for germs of holomorphic functions
• Tensor sequences and inductive limits with local partition of unity
• On the injective tensor product of quasinormable spaces
• Tensor products of Fréchet or (DF)-spaces with a Banach space
• A Projective Description of Weighted Inductive Limits
• The Problem of Topologies of Grothendieck and the Class of Fréchet T-Spaces

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