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On the Computation of the Hausdorff Dimension of the Walrasian Economy:Further Notes [PDF]

: In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands.
Dominique, C-Rene
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Hausdorff Measure of Critical Values

openLa tesi tratta il paper di A. Sard del 1965, "Hausdorff Measure of Critical Images on Banach Manifolds". Il paper tratta un raffinamento del teorema di Morse-Sard, e mostra che, presa una funzione C^k tra una varietà e una varietà di Banach, se k è
EUGENELO, TIZIANA
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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 \(x=(x_{k})\in X\).
Mohammad 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, Mohammad 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   +11 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
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Measure of Noncompactness of Matrix Operators on Some Difference Sequence Spaces of Weighted Means [PDF]

Computers and Mathematics With Applications, 2011
For a sequence x=(xk), we denote the difference sequence by Δx=(xk−xk−1). Let u=(uk)k=0∞ and v=(vk)k=0∞ be the sequences of real numbers such that uk≠0, vk≠0 for all k∈N.
Harun Polat, Mohammad Mursaleen, Vatan Karakaya   +2 more
exaly   +2 more sources