The Banach space $S$ is
complementably minimal and subsequentially prime
Studia Mathematica, Tome 156 (2003) no. 3, pp. 227-242
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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).
Keywords:
first include result second author showing banach space complementably minimal every block sequence unit vector basis has subsequence which spans space isomorphic its square czy ski decomposition method follows every basic sequence which spans space complemented has subsequence which spans space isomorphic subsequentially prime space
Affiliations des auteurs :
G. Androulakis 1 ; T. Schlumprecht 2
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author = {G. Androulakis and T. Schlumprecht},
title = {The {Banach} space $S$ is
complementably minimal and subsequentially prime},
journal = {Studia Mathematica},
pages = {227--242},
publisher = {mathdoc},
volume = {156},
number = {3},
year = {2003},
doi = {10.4064/sm156-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm156-3-2/}
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%0 Journal Article %A G. Androulakis %A T. Schlumprecht %T The Banach space $S$ is complementably minimal and subsequentially prime %J Studia Mathematica %D 2003 %P 227-242 %V 156 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm156-3-2/ %R 10.4064/sm156-3-2 %G en %F 10_4064_sm156_3_2
G. Androulakis; T. Schlumprecht. The Banach space $S$ is complementably minimal and subsequentially prime. Studia Mathematica, Tome 156 (2003) no. 3, pp. 227-242. doi: 10.4064/sm156-3-2
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