Results 81 to 90 of about 73,216 (207)
Electronic Journal of Differential Equations, 2017 The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Separated sequences in uniformly convex Banach spaces [PDF]
Colloquium Mathematicum, 2005 A well-known result of \textit{J. Elton} and \textit{E. Odell} [Colloq.\ Math.\ 44, 105--109 (1981; Zbl 0493.46014)] states that, for any normed linear space \(X\), there exists \(r>1\) and a sequence \((x_n)\) of norm-one elements in \(X\) such that \(\| x_m-x_n\| \geq r\) whenever \(m\neq n\). Such a sequence is called an \(r\)-separated sequence. In
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Axioms, 2020 In this paper, we present a new self-adaptive inertial projection method for solving split common null point problems in p-uniformly convex and uniformly smooth Banach spaces.
Chibueze Christian Okeke +2 more
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On the undefinability of Tsirelson's space and its descendants
, 2019 We prove that Tsirelson's space cannot be defined explicitly from the classical Banach sequence spaces. We also prove that any Banach space that is explicitly definable from a class of spaces that contain $\ell_p$ or $c_0$ must contain $\ell_p$ or $c_0 ...
Casazza, Peter, Iovino, Jose
core
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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A study on Copson operator and its associated sequence space
Journal of Inequalities and Applications, 2020 In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices.
Hadi Roopaei
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A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES
Demonstratio Mathematica, 1995 A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
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