Geodesic
Measures of Noncompactness in Regular Spaces
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 780-793

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DOI

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.
DOI : 10.4153/CMB-2014-015-4
Mots-clés : 47H08, 46E30, 47H99, 47G10, measures of non-compactness, condensing map, partially additive operator, regular space, ideal space 
Erzakova, Nina A. Measures of Noncompactness in Regular Spaces. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 780-793. doi: 10.4153/CMB-2014-015-4
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     author = {Erzakova, Nina A.},
     title = {Measures of {Noncompactness} in {Regular} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {780--793},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2014-015-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-015-4/}
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