A banach lattice without the approximation property

A. Szankowski

doi:10.1007/BF02834763

A banach lattice without the approximation property

A. Szankowski^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

A Banach lattice L without the approximation property is constructed. The construction can be improved so that L is, in addition, uniformly convex. These results yield the existence of a uniformly convex Banach space with symmetric basis and without the uniform approximation property.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	24
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02834763
State	Published - Dec 1976
Externally published	Yes

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title = "A banach lattice without the approximation property",

abstract = "A Banach lattice L without the approximation property is constructed. The construction can be improved so that L is, in addition, uniformly convex. These results yield the existence of a uniformly convex Banach space with symmetric basis and without the uniform approximation property.",

author = "A. Szankowski",

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A banach lattice without the approximation property

Abstract

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