Almost Weakly Compact Operators

• Autorzy: Ioana Ghenciu , Paul Lewis
• Języki publikacji: EN

Abstrakty

EN

Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B25: Classical Banach spaces in the general theory
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 3
• Strony: 237-256

Daty

wydano

2006

Twórcy

autor

Ioana Ghenciu

• Department of Mathematics, University of Wisconsin at River Falls, River Falls, WI 54022, U.S.A.

autor

Paul Lewis

• Department of Mathematics, University of North Texas, Box 311430, Denton, TX 76203-1430, U.S.A.

Identyfikatory

DOI

10.4064/ba54-3-6