This is an announcement for the paper "Compositions of projections in Banach spaces and relations between approximation properties" by M.I. Ostrovskii.
Abstract: 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.
Archive classification: math.FA
Mathematics Subject Classification: 46B07
Citation: Rocky Mountain Journal of Mathematics, 38 (2008), no. 4, 1253-1262
The source file(s), ostr.tex: 21966 bytes, is(are) stored in gzipped form as 0811.1763.gz with size 7kb. The corresponding postcript file has gzipped size 79kb.
Submitted from: ostrovsm@stjohns.edu
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