Weakly extremal properties of Banach spaces

1989 ◽  
Vol 45 (6) ◽  
pp. 488-494 ◽  
Author(s):  
V. P. Fonf
Keyword(s):  
Banach Spaces ◽  
Extremal Properties

scholarly journals Extremal properties of the set of vector-valued Banach limits

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Francisco Javier García-Pacheco
Keyword(s):  
Banach Spaces ◽  
Banach Limits ◽  
Vector Valued ◽  
Extremal Properties

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

scholarly journals Some extremal properties of section spaces of Banach bundles and their duals

2002 ◽  
Vol 29 (10) ◽  
pp. 563-572 ◽  
Author(s):  
D. A. Robbins
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Compact Hausdorff Space ◽  
Hausdorff Space ◽  
Real Banach Space ◽  
Extremal Properties

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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