Compositions of projections in Banach spaces and relations between approximation properties

Details Compositions of projections in Banach spaces and relations between approximation properties Compositions of projections in Banach spaces and relations between approximation properties

2008-11-11

arxiv.org/abs/0811.1763v1

Rocky Mountain Journal of Mathematics, 38 (2008), no. 4, 1253-1262

Mathematics

Functional Analysis

Scientific paper

A necessary and sufficient condition for existence of a Banach space with a
finite dimensional decomposition but without the $\pi$-property in terms of
norms of compositions of projections is found.

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