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1
Content available remote

Fragmentability and σ-fragmentability

100%
Jayne J. E., Namioka I., Rogers C. A.
Fundamenta Mathematicae
|
1993
|
tom 143
|
nr 3
207-220
EN
Recent work has studied the fragmentability and σ-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and σ-fragmentability properties of the spaces $ℓ^∞$ and $ℓ_c^∞({Γ})$, with Γ uncountable, are determined.
2
Content available remote

σ-fragmented Banach spaces II

100%
E. Jayne J., Namioka I., Rogers C. A.
Studia Mathematica
|
1994
|
tom 111
|
nr 1
69-80
EN
Recent papers have investigated the properties of σ-fragmented Banach spaces and have sought to find which Banach spaces are σ-fragmented and which are not. Banach spaces that have a norming M-basis are shown to be σ-fragmented using weakly closed sets. Zizler has shown that Banach spaces satisfying certain conditions have locally uniformly convex norms. Banach spaces that satisfy similar, but weaker conditions are shown to be σ-fragmented. An example, due to R. Pol, is given of a Banach space that is σ-fragmented using differences of weakly closed sets, but is not σ-fragmented using weakly closed sets.
3
Content available remote

An intersection property of sets with positive measure

75%
Erdös P., Kestelman H., Rogers C. A.
Colloquium Mathematicum
|
1963-1964
|
tom 11
|
nr 1
75-80
4
Content available remote

On coverings with convex domains

62%
Bambah R. P., Rogers C. A., Zassenhaus H.
Acta Arithmetica
|
1964
|
tom 9
|
nr 2
191-207
5
Content available remote

The star number of coverings of space with convex bodies

50%
Erdös P., Rogers C. A.
Acta Arithmetica
|
1964
|
tom 9
|
nr 1
41-45
6
Content available remote

Covering space with convex bodies

50%
Erdös P., Rogers C. A.
Acta Arithmetica
|
1961-1962
|
tom 7
|
nr 3
281-285
7
Content available remote

A brief survey of the work of Harold Davenport

50%
Rogers C. A.
Acta Arithmetica
|
1971
|
tom 18
|
nr 1
13-17
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