Geodesic
Diametral Diameter Two Properties in Banach Spaces
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 817-84
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The aim of this note is to provide several new variants of the diameter two properties for Banach spaces. We study such properties looking for the abundance of diametral points, which holds in the setting of Banach spaces with the Daugavet property, for example. For this, we introduce the diametral diameter two properties in Banach spaces, showing for these new properties stability results, inheritance to subspaces and characterizations in terms of finite rank projections.
Classification : 46B20, 46B22
Mots-clés : Diameter two properties, diametral points, finite rank projections 
@article{JCA_2018_25_3_JCA_2018_25_3_a6,
     author = {J. Becerra Guerrero and G. L\'opez-P\'erez and A. Rueda Zoca},
     title = {Diametral {Diameter} {Two} {Properties} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {817--84},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a6/}
}
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J. Becerra Guerrero; G. López-Pérez; A. Rueda Zoca. Diametral Diameter Two Properties in Banach Spaces. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 817-84. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a6/