The Banach space S is complementably minimal and subsequentially prime

Details The Banach space S is complementably minimal and subsequentially prime The Banach space S is complementably minimal and subsequentially prime

2001-12-25

arxiv.org/abs/math/0112273v1

Mathematics

Functional Analysis

See also: http://www.math.sc.edu/~giorgis/research.html

Scientific paper

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).

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