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MEASURES OF NONCOMPACTNESS IN BANACH SPACES

✍ Scribed by Lloyd, N. G. (author)

Book ID
120093387
Publisher
Wiley
Year
1981
Tongue
English
Weight
50 KB
Volume
13
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES

Nonlocal nonlinear differential equation
Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
✍ Xingmei Xue πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 650 KB

In this paper we give the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions under the assumptions of the Hausdorff measure of noncompactness in separable and uniformly smooth Banach spaces.

Strongly Generated Banach Spaces and Mea
Strongly Generated Banach Spaces and Measures of Noncompactness
✍ Markus Kunze; Georg SchlΓΌchtermann πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 889 KB

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