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arXiv · math/0112273

The Banach space S is complementably minimal and subsequentially prime

George Androulakis·Thomas Schlumprecht
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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).

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George Androulakis, Thomas Schlumprecht. 2001-12-25. The Banach space S is complementably minimal and subsequentially prime. https://arxiv.org/abs/math/0112273

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