Generalized prequojections and bounded maps

DOI10.1007/BF03322453zbMath0677.46001OpenAlexW2146041476MaRDI QIDQ1123347

Vincenzo Bruno Moscatelli, Metafune, Giorgio

Publication date: 1989

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322453

zbMATH Keywords

Schauder basisbarrelled spacebounded approximation propertyquojectionbounded linear maps\(L(E,F)=LB(E,F)\)construct non-trivial generalized prequojections with continuous norm

Mathematics Subject Classification ID

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) Spaces of linear operators; topological tensor products; approximation properties (46A32) Summability and bases in topological vector spaces (46A35) Duality and reflexivity in normed linear and Banach spaces (46B10) Tensor products in functional analysis (46M05)

Cites Work

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• A duality theorem for locally convex tensor products
• A note on quojections
• Basic sequences and norming subspaces in non-quasi-reflexive Banach spaces
• Frechet Spaces with Nuclear Kothe Quotients
• On the Identity L(E, F) = LB(E, F) for Pairs of Locally Convex Spaces E and F

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