Banach spaces without local unconditional structure

Details Banach spaces without local unconditional structure Banach spaces without local unconditional structure

1993-06-21

arxiv.org/abs/math/9306211v1

Mathematics

Functional Analysis

Scientific paper

For a large class of Banach spaces, a general construction of subspaces
without local unconditional structure is presented. As an application it is
shown that every Banach space of finite cotype contains either $l_2$ or a
subspace without unconditional basis, which admits a Schauder basis. Some
other interesting applications and corollaries follow.

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