The Banach space S is complementably minimal and subsequentially prime
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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 Pelczyski 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 5 (i.e. S is a subsequentially prime space).
author list (cited authors)
Androulakis, G., & Schlumprecht, T.
complete list of authors
Androulakis, G||Schlumprecht, T