A banach lattice without the approximation property
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A Banach latticeL without the approximation property is constructed. The construction can be improved so thatL 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.
KeywordsBanach Space Approximation Property Banach Lattice Orlicz Space Convex Space
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