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On some measures of noncompactness in the space of continuous functions

✍ Scribed by Józef Banaś; Kishin Sadarangani

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
201 KB
Volume
68
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 others it is shown that they are regular or "partly" regular measures and equivalent to the Hausdorff measure of noncompactness.

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