The Banach space S is complementably minimal and subsequentially prime
Functional Analysis
2007-05-23 v1
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 Pe{\l}czy\'nski 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
Cite
@article{arxiv.math/0112273,
title = {The Banach space S is complementably minimal and subsequentially prime},
author = {George Androulakis and Thomas Schlumprecht},
journal= {arXiv preprint arXiv:math/0112273},
year = {2007}
}
Comments
See also: http://www.math.sc.edu/~giorgis/research.html