Affiliation:
1. Technical Faculty, Bor
2. Fatih University, Faculty of Science, Department of Mathematics, Istanbul, Turkey + Državni Univerzitet u Novom Pazaru, Novi Pazar
Abstract
In this paper, we characterize the classes ((?1)T, (?1)?T ) and (cT, c?T)
where T = (tnk)?n,k=0 and ?T=(?tnk)?n,k=0 are arbitrary triangles. We
establish identities or estimates for the Hausdorff measure of noncompactness
of operators given by matrices in the classes ((?1)T, (?1)?T ) and (cT, c?T).
Furthermore we give sufficient conditions for such matrix operators to be
Fredholm operators on (?1)T and cT. As an application of our results, we
consider the class (bv, bv) and the corresponding classes of matrix
operators. Our results are complementary to those in [2] and some of them are
generalization for those in [3].
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Cited by
4 articles.
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1. Applications of matrix domains of triangles in the characterization of summability factors;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-08-25
2. Compact Matrix Operators Between Some Cesàro Weighted Sequence Spaces;Bulletin of the Iranian Mathematical Society;2021-07-12
3. Banach spaces of absolutely k-summable series;Georgian Mathematical Journal;2021-06-01
4. Some general results on fractional Banach sets;TURKISH JOURNAL OF MATHEMATICS;2019-03-27