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Inequivalent measures of noncompactness

✍ Scribed by John Mallet-Paret; Roger D. Nussbaum

Book ID: 106299536
Publisher: Springer
Year: 2010
Tongue: English
Weight: 424 KB
Volume: 190
Category: Article
ISSN: 0373-3114
DOI: 10.1007/s10231-010-0158-x

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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