The Banach space S is complementably minimal and subsequentially prime

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Functional Analysis, 46B03, 46B20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62979

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112273
 http://arxiv.org/abs/math/0112273

Collections

arXiv