Geodesic
Almost Weakly Compact Operators
Ioana Ghenciu 1   ; Paul Lewis 2
1 Department of Mathematics University of Wisconsin at River Falls River Falls, WI 54022, U.S.A.
2 Department of Mathematics University of North Texas Box 311430 Denton, TX 76203-1430, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 237-256 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba54-3-6
Keywords: dunford pettis type properties studied individual banach spaces spaces operators bibasic sequences characterize banach spaces which fail have dunford pettis property question whether space operators has dunford pettis property dual domain codomain have respective property studied notion almost weakly compact operator plays consistent important role study

Ioana Ghenciu  1   ; Paul Lewis  2

1 Department of Mathematics University of Wisconsin at River Falls River Falls, WI 54022, U.S.A.
2 Department of Mathematics University of North Texas Box 311430 Denton, TX 76203-1430, U.S.A. 
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Ioana Ghenciu; Paul Lewis. Almost Weakly Compact Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 237-256. doi: 10.4064/ba54-3-6

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