Results 91 to 100 of about 130 (114)
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Hausdorff measure of noncompactness in subspaces of continuous functions of codimension one
Nonlinear Analysis: Theory, Methods & Applications, 1995The author establishes a formula for the Hausdorff measure of noncompactness in closed hyperplanes of the space \(C[a, b]\) of real-valued continuous functions on a compact interval \([a, b]\).
Andrzej Wiśnicki
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Minimal sets for the Hausdorff measure of noncompactness and related coefficients
Nonlinear Analysis: Theory, Methods & Applications, 2001Stanisław Prus
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On sequence spaces defined by arithmetic function and Hausdorff measure of noncompactness
Rocky Mountain Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaying, Taja, Saikia, Nipen
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RETRACTED: The Hausdorff measure of noncompactness for some matrix operators
Nonlinear Analysis: Theory, Methods & Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A. +2 more
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Retraction notice to: ``The Hausdorff measure of noncompactness for some matrix operators''
Nonlinear Analysis: Theory, Methods & Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A. +2 more
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Appl. Math. Comput., 2010
Let \(\omega \) be the space of all complex sequences \(x=\left( x_{k}\right) _{k=1}^{\infty }\), \(A=\left( a_{nk}\right) _{n,k=1}^{\infty }\) be an infinite matrix of complex numbers and \(X\) a subset of \(\omega\). The set \[ X_{A}=\left\{ x\in \omega :Ax=\sum_{k=1}^\infty a_{nk} {x_{k}}\in X\right\} \] is called the matrix domain of \(A\) in \(X\).
Ivana Djolovic, Eberhard Malkowsky
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Let \(\omega \) be the space of all complex sequences \(x=\left( x_{k}\right) _{k=1}^{\infty }\), \(A=\left( a_{nk}\right) _{n,k=1}^{\infty }\) be an infinite matrix of complex numbers and \(X\) a subset of \(\omega\). The set \[ X_{A}=\left\{ x\in \omega :Ax=\sum_{k=1}^\infty a_{nk} {x_{k}}\in X\right\} \] is called the matrix domain of \(A\) in \(X\).
Ivana Djolovic, Eberhard Malkowsky
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Quaestiones Mathematicae, 2019
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed. Also, the Hausdorff measures of noncompactness of certain matrix operators that map an arbitrary BK-space into the classical sequence spaces are established. Furthermore,
Baliarsingh, P., Kadak, Ugur
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In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed. Also, the Hausdorff measures of noncompactness of certain matrix operators that map an arbitrary BK-space into the classical sequence spaces are established. Furthermore,
Baliarsingh, P., Kadak, Ugur
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1984
Let \(\Omega\) be a Lebesgue-measurable subset of \({\mathbb{R}}^ n\), M(\(\Omega)\) the space of all Lebesgue-measurable functions on \(\Omega\) to \({\mathbb{R}}\) and \(T_ 0(\Omega)\) its subspace of all totally measurable functions [in the sense of \textit{N. Dunford} and \textit{J. T.
De Pascale, E., Trombetta, G.
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Let \(\Omega\) be a Lebesgue-measurable subset of \({\mathbb{R}}^ n\), M(\(\Omega)\) the space of all Lebesgue-measurable functions on \(\Omega\) to \({\mathbb{R}}\) and \(T_ 0(\Omega)\) its subspace of all totally measurable functions [in the sense of \textit{N. Dunford} and \textit{J. T.
De Pascale, E., Trombetta, G.
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Hausdorff Measures of Noncompactness and Interpolation Spaces
2016A 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. From the main result, classical results are obtained now as corollaries and we have an application to interpolation theory of Banach spaces.
da Silva, Eduardo Brandani +1 more
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2014
In this paper, we have introduced a sequence space \(l_p(r,s, t; B^{(m)})\), \(1\le p< \infty \) and proved that the space is a complete normed linear space. We have also shown that the space \(l_p(r,s, t; B^{(m)})\) is linearly isomorphic to \(l_p\) for \(1\le p< \infty \).
Amit Maji, P. D. Srivastava
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In this paper, we have introduced a sequence space \(l_p(r,s, t; B^{(m)})\), \(1\le p< \infty \) and proved that the space is a complete normed linear space. We have also shown that the space \(l_p(r,s, t; B^{(m)})\) is linearly isomorphic to \(l_p\) for \(1\le p< \infty \).
Amit Maji, P. D. Srivastava
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