Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces [PDF]
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
doaj +4 more sources
On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric [PDF]
We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
doaj +6 more sources
Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
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M Mursaleen, Abdullah K Noman
exaly +4 more sources
Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]
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Ali Karaisa
exaly +5 more sources
Hausdorff measure of noncompactness of matrix mappings on Cesàro spaces
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
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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Some notes on matrix mappings and their Hausdorff measure of noncompactness
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 +2 more
exaly +3 more sources
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M Mursaleen, Abdullah K Noman
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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 ...
Quan JJ, Narrania D, Raj K, Cai QB.
europepmc +2 more sources
Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix [PDF]
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Mohammad Bagher Ghaemi
exaly +2 more sources

