Results 11 to 20 of about 789 (128)
Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces [PDF]
Journal of Inequalities and Applications, 2016 The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
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Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 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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Some notes on matrix mappings and their Hausdorff measure of noncompactness
Filomat, 2014 We consider the sequence spaces s0?(?B), s(c)? (?B) and s?(?B) with their topological properties, and give the characterizations of the classes of matrix transformations from them into any of the spaces ?1, ?1, c0 and c. We also establish some estimates for the norms of bounded linear operators defined by those matrix transformations ...
E. Malkowsky, F. Özger, A. Alotaibi
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Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Mursaleen
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On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness [PDF]
, 2004 The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness.Junta de AndalucíaState Committee for Scientific Research of ...
Espínola García, Rafael +2 more
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Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Mursaleen
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Hausdorff measure of noncompactness of matrix mappings on Cesàro spaces
Boletim da Sociedade Paranaense de Matemática, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on spaces |C_{α}|_{k}, which have more recently been introduced in [14]. Further, by applying the Hausdorff measure of noncompactness, we establish the necessary and sufficient conditions for such operators to be ...
Gulec, G. Canan Hazar, Sarigol, M. Ali
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On composition operators of Fibonacci matrix and applications of Hausdorff measure of noncompactness
Boletim da Sociedade Paranaense de Matemática, 2022 The aim of the paper is introduced the composition of the two infinite matrices $\Lambda=(\lambda_{nk})$ and $\widehat{F}=\left( f_{nk} \right).$ Further, we determine the $\alpha$-, $\beta$-, $\gamma$-duals of new spaces and also construct the basis for the space $\ell_{p}^{\lambda}(\widehat{F}).$ Additionally, we characterize some matrix classes on ...
Das, Anupam +3 more
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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
Operators and Matrices, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent and bounded sequences, Thai J. Math. 8(2) (2010) 311–329].
M. Mursaleen, Abdullah K. Noman
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Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces
Boletim da Sociedade Paranaense de Matemática, 2022 The well-known difference sequence spaces were introduced by Kızmaz [17] in 1981 and have been generalized by many authors uptill now. These spaces were fi rst time extended by Sarıgöl [31] to the sequence spaces$l_{\infty }(\Delta _{q}),$ $c(\Delta _{q})$ or $c_{0}(\Delta _{q})$.
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