This is an announcement for the paper "Skipped blocking and other decompositions in Banach spaces" by Steven F. Bellenot.
Abstract: Necessary and sufficient conditions are given for when a sequence of finite dimensional subspaces (X_n) can be blocked to be a skipped blocking decompositon (SBD). The condition is order independent, so permutations of conditional basis, for example can be so blocked. This condition is implied if (X_n) is shrinking, or (X_n) is a permutation of a FDD, or if X is reflexive and (X_n) is separating. A separable space X has PCP, if and only if, every norming decomposition (X_n) can be blocked to be a boundedly complete SBD. Every boundedly complete SBD is a JT-decomposition.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary); 46B15, 46B22 (Secondary)
Report Number: FSU04-11
Remarks: 11 pages, 0 figures
The source file(s), skipB.tex: 42550 bytes, is(are) stored in gzipped form as 0408004.gz with size 13kb. The corresponding postcript file has gzipped size 65kb.
Submitted from: bellenot@math.fsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0408004
or
http://arXiv.org/abs/math.FA/0408004
or by email in unzipped form by transmitting an empty message with subject line
uget 0408004
or in gzipped form by using subject line
get 0408004
to: math@arXiv.org.