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Banach spaces without local unconditional structure

R. Komowski·Nicole Tomczak-Jaegermann
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Abstract

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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R. Komowski, Nicole Tomczak-Jaegermann. 1993-06-21. Banach spaces without local unconditional structure. https://arxiv.org/abs/math/9306211

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