arXiv:math/0112273 Abstract

arXiv:math/0112273 [math.FA]Abstract References Reviews Resources

The Banach space S is complementably minimal and subsequentially prime

Published 2001-12-25Version 1

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).

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

Categories: math.FA

Subjects: 46B03, 46B20

Keywords: banach space, complementably minimal, space isomorphic, unit vector basis, second author

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