Weakly extremal properties of Banach spaces

1989 ◽  
Vol 45 (6) ◽  
pp. 488-494 ◽  
Author(s):  
V. P. Fonf
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Francisco Javier García-Pacheco

AbstractIn this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ


2002 ◽  
Vol 29 (10) ◽  
pp. 563-572 ◽  
Author(s):  
D. A. Robbins

WhenXis a compact Hausdorff space andEis a real Banach space there is a considerable literature on extremal properties of the spaceC(X,E)of continuousE-valued functions onX. What happens if the Banach spaces in which the functions onXtake their values vary overX? In this paper, we obtain some extremal results on the section spaceΓ(π)and its dualΓ(π)*of a real Banach bundleπ:ℰ→X(with possibly varying fibers), and point out the difficulties in arriving at totally satisfactory results.


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