1Departamento de Matemáticas Universidad de Extremadura Avda de Elvas s/n 06011 Badajoz, Spain 2Departamento de Matemáticas Universidad de Cantabria Avda de los Castros s/n 39071 Santander, Spain 3Via Martucci 19 40136 Bologna, Italia
Studia Mathematica, Tome 222 (2014) no. 1, pp. 19-28
We study different aspects of the representation of weak$^*$-compact convex sets of the bidual $X^{**}$ of a separable Banach space $X$ via a nested sequence of closed convex bounded sets of $X$.
Keywords:
study different aspects representation weak * compact convex sets bidual ** separable banach space via nested sequence closed convex bounded sets nbsp
Affiliations des auteurs :
Jesús M. F. Castillo 
1
;
Manuel González 
2
;
Pier Luigi Papini 
3
1
Departamento de Matemáticas Universidad de Extremadura Avda de Elvas s/n 06011 Badajoz, Spain
2
Departamento de Matemáticas Universidad de Cantabria Avda de los Castros s/n 39071 Santander, Spain
3
Via Martucci 19 40136 Bologna, Italia
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title = {On nested sequences of convex sets in {Banach} spaces},
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AU - Pier Luigi Papini
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Jesús M. F. Castillo; Manuel González; Pier Luigi Papini. On nested sequences of convex sets in Banach spaces. Studia Mathematica, Tome 222 (2014) no. 1, pp. 19-28. doi: 10.4064/sm222-1-2