The Banach space S is complementably minimal and subsequentially prime Academic Article uri icon

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 PelczyƄski 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.

citation count

  • 11

publication date

  • January 2003