Biorthogonal systems in Banach spaces

• Autorzy: Michael A. Coco
• Języki publikacji: EN

Abstrakty

EN

We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B15: Summability and bases
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 165
• Numer: 1
• Strony: 81-100

Daty

wydano

2004

Twórcy

autor

Michael A. Coco

• Department of Mathematics, Lynchburg College, Lynchburg, VA 24501, U.S.A.

Identyfikatory

DOI

10.4064/sm165-1-7