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ON OPERATORS WITH THE SPHERICAL PROPERTY
Properties of continuous positively homogeneous operators of degree via various functions (e.g. measures of noncompactness) on all bounded subsets of a Banach space are studied.
N. A. Erzakova
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Compactness by the Hausdorff measure of noncompactness
Nonlinear Analysis: Theory, Methods & Applications, 2010A linear subspace \(X\) of the space of all complex sequences, denoted by \(w\), is called a \(BK\)-space if it is a Banach space with continuous coordinates \(p_{n}: X \to \mathbb{C}\) \((n\in \mathbb{N})\), where \(\mathbb{C}\) is the complex field and \(p_{n}(x)=x_{n}\) for all \(x=(x_{k})\in X\).
M Mursaleen
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Advances in Operator Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anupam Das, Bipan Hazarika, M Mursaleen
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anupam Das, Bipan Hazarika, M Mursaleen
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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 Wisnicki
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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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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.
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.
Baliarsingh, P., Kadak, Ugur
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