An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness [PDF]
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Ben Berckmoes
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Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix [PDF]
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Elahe Abyar, Mohammad Bagher Ghaemi
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On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces [PDF]
In this paper we prove some formulae and evaluations on relative Hausdorff measures of noncompactness and relative Chebyshev radii in various Banach spaces. We generalize the Lifschitz constant κ ( X ) \kappa (X) and introduce a function κ ~
Andrzej Wiśnicki, Jacek Wośko
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Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
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A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
In this article, we have constructed generalized q-difference Motzkin sequence spaces [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] by composing q-Motzkin matrix with generalized q-difference matrix in the spaces ...
Jun-Jie Quan +3 more
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Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
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M. Mursaleen, Abdullah K. Noman
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Decay mild solutions of the nonlocal Cauchy problem for second order evolution equations with memory [PDF]
Our aim in this paper is to find out decay mild solutions of the nonlocal Cauchy problem for a class of second order evolution equations with memory. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence ...
Luong, Vu Trong
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M. Mursaleen, Abdullah K. Noman
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Applications of Hausdorff measure of noncompactness in the spaces of generalized means [PDF]
M. Mursaleen, Abdullah K. Noman
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