The Banach space S is complementably minimal and subsequentially prime

• Autorzy: G. Androulakis , T. Schlumprecht
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 156
• Numer: 3
• Strony: 227-242

Daty

wydano

2003

Twórcy

autor

G. Androulakis

• Department of Mathematics, University of South Carolina, Columbia, SC 29208, U.S.A.

autor

T. Schlumprecht

• Department of Mathematics, Texas A&M University, College Station, TX 77843, U.S.A.

Identyfikatory

DOI

10.4064/sm156-3-2