Tensor sequences and inductive limits with local partition of unity

DOI10.1007/BF01171493zbMath0576.46053MaRDI QIDQ1065333

Ralf Hollstein

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155085

zbMATH Keywords

local partition of unity\(\epsilon \) -space\(\epsilon \) -tensor product\(\otimes \)-sequence\(\pi \) -spacesbornologicalDF)-spacescountable neighborhood propertytopologically exact sequence

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Tensor products in functional analysis (46M05)

Related Items

Complete projective tensor product of (LB)-spaces ⋮ Bornological spaces of null sequences ⋮ Property (BB) and holomorphic functions on Fréchet-Montel spaces ⋮ On unconditional bases in spaces of holomorphic functions in infinite dimensions ⋮ Tensor products of Fréchet or (DF)-spaces with a Banach space

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