Results 91 to 100 of about 165,965,242 (115)

Compactness by the Hausdorff measure of noncompactness

Nonlinear Analysis: Theory, Methods & Applications, 2010
A 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, Abdullah K Noman
exaly   +3 more sources

On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

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
openaire   +4 more sources

Hausdorff measure of noncompactness in subspaces of continuous functions of codimension one

Nonlinear Analysis: Theory, Methods & Applications, 1995
The 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
exaly   +2 more sources

Existence of solution of infinite systems of inhomogeneous wave equations using Hausdorff measure of noncompactness

Advances in Operator Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika, Poom Kumam, M Mursaleen   +2 more
exaly   +3 more sources

MAXIMAL NONCOMPACTNESS OF WIENER-HOPF OPERATORS [PDF]

Journal of Mathematical Sciences
Let $X(\mathbb{R})$ be a separable translation-invariant Banachfunction space and $a$ be a Fourier multiplier on $X(\mathbb{R})$. We provethat the Wiener-Hopf operator $W(a)$ with symbol $a$ is maximally noncompacton the space $X(\mathbb{R}_+)$, that is,
Oleksiy Karlovych, Eugene Shargorodsky
exaly   +13 more sources

Minimal sets for the Hausdorff measure of noncompactness and related coefficients

Nonlinear Analysis: Theory, Methods & Applications, 2001
Stanisław Prus
exaly   +3 more sources

On sequence spaces defined by arithmetic function and Hausdorff measure of noncompactness

Rocky Mountain Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaying, Taja, Saikia, Nipen
openaire   +1 more source

RETRACTED: The Hausdorff measure of noncompactness for some matrix operators

Nonlinear Analysis: Theory, Methods & Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A., Mursaleen, M., Alotaibi, A.   +2 more
openaire   +2 more sources

Retraction notice to: ``The Hausdorff measure of noncompactness for some matrix operators''

Nonlinear Analysis: Theory, Methods & Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A., Mursaleen, M., Alotaibi, A.   +2 more
openaire   +3 more sources

Hausdorff measure of noncompactness and Korovkin type approximation theorem for certain generalized difference sequence spaces

Mathematical Foundations of Computing
P Baliarsingh
exaly   +2 more sources