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RETRACTED: The Hausdorff measure of noncompactness for some matrix operators

✍ Scribed by Mohiuddine, S.A.; Mursaleen, M.; Alotaibi, A.


Book ID
120623468
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
418 KB
Volume
92
Category
Article
ISSN
0362-546X

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Minimal sets for the Hausdorff measure o
✍ Elisabetta Maluta; StanisΕ‚aw Prus πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 480 KB

It is proved that every bounded infinite set in a weakly compactly determined Banach space contains a subset minimal for the Hausdorff measure of noncompactness whose measure is the same as the measure of the whole set. Various coefficients related to minimal sets are also studied.