Weakly uniformly rotund Banach spaces
Moltó, Aníbal ; Montesinos, Vicente ; Orihuela, José ; Troyanski, Stanimir L.
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 749-753 / Harvested from Czech Digital Mathematics Library
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The dual space of a WUR Banach space is weakly K-analytic.

Publié le : 1998-01-01
Classification:  46B20,  46B22,  52A41 
@article{119049,
     author = {An\'\i bal Molt\'o and Vicente Montesinos and Jos\'e Orihuela and Stanimir L. Troyanski},
     title = {Weakly uniformly rotund Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {749-753},
     zbl = {1060.46502},
     mrnumber = {1715463},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119049}
}

Moltó, Aníbal; Montesinos, Vicente; Orihuela, José; Troyanski, Stanimir L. Weakly uniformly rotund Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 749-753. http://gdmltest.u-ga.fr/item/119049/

Cascales B. On K-analytic locally convex spaces, Arch. Math. 49 (1987), 232-244. (1987) | MR 0906738 | Zbl 0617.46014

Cascales B.; Orihuela J. A sequential property of set-valued maps, J. Math. Anal. Appl. 156 (1991), 86-100. (1991) | MR 1102599 | Zbl 0760.54013

Deville R.; Godefroy G.; Zizler V. Smoothness and Renormings in Banach Spaces, Longman Scientific and Technical, 1993. | MR 1211634 | Zbl 0782.46019

Fabian M.; Godefroy G. The dual of every Asplund admits a projectional resolution of the identity, Studia Math. 91 (1988), 141-151. (1988) | MR 0985081

Fabian M.; Hájek P.; Zizler V. On uniform Eberlein compacta and uniformly Gâteaux smooth norms, Serdica Math. J. 23 (1997), 1001-1010. (1997) | MR 1660997

Fabian M.; Troyanski S. A Banach space admits a locally uniformly rotund norm if its dual is a Vasšák space, Israel J. Math. 69 (1990), 214-224. (1990) | MR 1045374

Godefroy G.; Troyanski S.; Whitfield J.H.M.; Zizler V. Smoothness in weakly compactly generated Banach spaces, J. Functional Anal. 52 (1983), 344-352. (1983) | MR 0712585 | Zbl 0517.46010

Hájek P. Dual renormings of Banach spaces, Comment. Math. Univ. Carolinae 37 (1996), 241-253. (1996) | MR 1398999

Talagrand M. Espaces de Banach faiblement K-analytiques, Annals of Math. 110 (1979), 407-438. (1979) | MR 0554378