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On Connections between Set and Ball Measures of Noncompactness

✍ Scribed by Webb, J. R. L.; Zhao, W.


Book ID
120092782
Publisher
Oxford University Press
Year
1990
Tongue
English
Weight
153 KB
Volume
22
Category
Article
ISSN
0024-6093

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It is proved that every bounded infinite set in a weakly compactly determined Banach space contains a subset minimal for the Hausdorff measure of noncompactness whose measure is the same as the measure of the whole set. Various coefficients related to minimal sets are also studied.