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Compactness Criteria and Measures of Noncompactness in Function Spaces

✍ Scribed by Eveson, S. P.


Book ID
118067833
Publisher
Oxford University Press
Year
2000
Tongue
English
Weight
298 KB
Volume
62
Category
Article
ISSN
0024-6107

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To generalize the HausdorfF measure of noncompactness to other classes of bounded sets (like e. g. conditionally weakly compact or Asplund sets), we introduce Grothendieck classes. We deduce integral inequalities for quantities (called Grothendieck measures) related to these classes. As a by-product