Some matrix transformations and measures of noncompactness
✍ Scribed by Vakeel A. Khan
- Book ID
- 107627118
- Publisher
- Springer Milan
- Year
- 2011
- Tongue
- Italian
- Weight
- 333 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0009-725X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider some quantities in the space of functions continuous on a bounded interval, which are related to monotonicity of functions. Based on those quantities we construct a few measures of noncompactness in the mentioned function space. Several properties of those measures are established; among
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