The Banach space S is complementably minimal and subsequentially prime

G. Androulakis, and T. Schlumprecht. "The Banach space S is complementably minimal and subsequentially prime." Studia Mathematica 156.3 (2003): 227-242. <http://eudml.org/doc/285213>.

@article{G2003,
abstract = {We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pełczyński decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space isomorphic to S (i.e. S is a subsequentially prime space).},
author = {G. Androulakis, T. Schlumprecht},
journal = {Studia Mathematica},
keywords = {subsequentially prime space; complementably minimal},
language = {eng},
number = {3},
pages = {227-242},
title = {The Banach space S is complementably minimal and subsequentially prime},
url = {http://eudml.org/doc/285213},
volume = {156},
year = {2003},
}

TY - JOUR
AU - G. Androulakis
AU - T. Schlumprecht
TI - The Banach space S is complementably minimal and subsequentially prime
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 3
SP - 227
EP - 242
AB - We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pełczyński decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space isomorphic to S (i.e. S is a subsequentially prime space).
LA - eng
KW - subsequentially prime space; complementably minimal
UR - http://eudml.org/doc/285213
ER -