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Measures of Noncompactness in Regular Spaces

Published online by Cambridge University Press:  20 November 2018

Nina A. Erzakova
Nina A. Erzakova*
Affiliation:
Moscow State Technical University of Civil Aviation e-mail: naerzakova@gmail.com
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Abstract

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Previous results by the author on the connection between three measures of noncompactness obtained for ${{\mathcal{L}}_{p}}$ are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined. New theorems for $\left( k,\,\beta \right)$-boundedness of partially additive operators are proved.

Keywords

47H0846E3047H9947G10measures of non-compactnesscondensing mappartially additive operatorregular spaceideal space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 4 , 01 December 2014 , pp. 780 - 793
Copyright
Copyright © Canadian Mathematical Society 2014

References

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