A superreflexive Banach space with a finite dimensional decomposition so that no large subspace has a basis

DOI10.1007/BF02807867zbMath0721.46007OpenAlexW2012428054MaRDI QIDQ2640832

Piotr Mankiewicz, N. J. Nielsen

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02807867

zbMATH Keywords

bounded approximation propertyconstruction of a Banach space with finite dimensional decomposition in which no large subspace has a basissubspaces of direct sums of spaces

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

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• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic

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