The Banach space S is complementably minimal and subsequentially prime

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dc.creatorAndroulakis, George
dc.creatorSchlumprecht, Thomas
dc.date2001-12-25
dc.date.accessioned2026-07-07T04:45:31Z
dc.date.available2026-07-07T04:45:31Z
dc.descriptionWe 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).
dc.descriptionSee also: http://www.math.sc.edu/~giorgis/research.html
dc.identifierhttps://arxiv.org/abs/math/0112273
dc.identifierhttp://arxiv.org/abs/math/0112273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62979
dc.subjectFunctional Analysis
dc.subject46B03, 46B20
dc.titleThe Banach space S is complementably minimal and subsequentially prime
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