Quojections and finite-dimensional decompositions

DOI10.1007/BF01199067zbMath0782.46003OpenAlexW1975480148MaRDI QIDQ1193275

Metafune, Giorgio

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf01199067

zbMATH Keywords

continuous normSchauder decompositionnuclear spacesquojectionnuclear Fréchet space with 2-FDDprojective limit of a sequence of Banach spacesSFDDsurjective linear mapstwisted quojection with an unconditional finite-dimensional decomposition

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Summability and bases in topological vector spaces (46A35)

Cites Work

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• Nuclear Fréchet spaces with locally round finite dimensional decomposition
• Unconditional bases in Fréchet-spaces
• A Banach space without a basis which has the bounded approximation property
• A twisted Fréchet space with basis
• Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions
• Continuous norms on Fréchet lattices
• Twisted Sums of Sequence Spaces and the Three Space Problem

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