Results 1 to 10 of about 273 (87)
Dera Natung Government College Research JournalThe characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and
Sezer Erdem, Serkan Demiriz
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Journal of Mathematical Analysis and Applications, 2017 19 ...
Ben Berckmoes, Jan van Casteren
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Mathematics, 2023 In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch ...
Thitiporn Linitda +3 more
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Fractal and Fractional, 2022 This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (κ,ϕ)-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C([1,T]
Vijai Kumar Pathak +3 more
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Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure [PDF]
Science China Mathematics, 2019 [1, Theorem 4.4] states that every infinite dimensional Banach space admits a homogenous measure of noncompactness not equivalent to the Hausdorff measure. Howevere, there is a gap in the proof. In fact, we found that [1, Lemma 4.3] is not true. In this erratum, we give a corrected proof of [1, Theorem 4.4].
Ehmet Ablet +3 more
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Sequence spaces derived by the triple band generalized Fibonacci difference operator
Advances in Difference Equations, 2020 In this article we introduce the generalized Fibonacci difference operator F ( B ) $\mathsf{F}(\mathsf{B})$ by the composition of a Fibonacci band matrix F and a triple band matrix B ( x , y , z ) $\mathsf{B}(x,y,z)$ and study the spaces ℓ k ( F ( B ) ) $
Taja Yaying +4 more
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On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric [PDF]
Journal of Inequalities and Applications, 2016 We quantify Prokhorov's Theorem by establishing an explicit formula for the Hausdorff measure of non-compactness (HMNC) for the parametrized Prokhorov metric on the set of Borel probability measures on a Polish space. Furthermore, we quantify the Arzelà-Ascoli Theorem by obtaining upper and lower estimates for the HMNC for the uniform norm on the space
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Communications in Advanced Mathematical Sciences, 2021 In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Mehmet Akif Bayrakdar, Merve İlkhan
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Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$
Journal of New Results in ScienceThe concept of non-compactness measure is extremely beneficial for functional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of ...
Sezer Erdem
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The degree of nondensifiability of linear bounded operators and its applications
Applied General TopologyIn the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application
Gonzalo García, Gaspar Mora
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