Geometry of Banach spaces and biorthogonal systems

• Autorzy: S. J. Dilworth , Maria Girardi , W. B. Johnson
• Języki publikacji: EN

Abstrakty

EN

A separable Banach space X contains $ℓ_1$ isomorphically if and only if X has a bounded fundamental total $wc_{0}*$-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded fundamental total $wc_{0}*$-biorthogonal system.

Kategorie tematyczne

• 46B99: None of the above, but in this section
• 46B20: Geometry and structure of normed linear spaces
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 140
• Numer: 3
• Strony: 243-271

Daty

wydano

2000

poprawiono

1999-02-23

otrzymano

2000-12-06

Twórcy

autor

S. J. Dilworth

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

autor

Maria Girardi

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

autor

W. B. Johnson

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

Bibliografia

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