Results 101 to 110 of about 23,112 (257)
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
wiley +1 more source
Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
openaire +2 more sources
The Stereographic Projection in Banach Spaces
Rocky Mountain Journal of Mathematics, 2007 We give a new and direct proof of the fact that, in any infinite dimensional Banach space, the unit sphere minus any one point is homeomorphic to a closed hyperplane. The proof involves L-structures and geometric concepts as, for instance, rotund, smooth and exposed points.
García-Pacheco, Francisco J. +1 more
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Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]
We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Monteiro, Paulo K. +2 more
core
Journal of Function SpacesLet X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli +2 more
doaj +1 more source
The Szlenk Index and the Fixed Point Property under Renorming
Fixed Point Theory and Applications, 2010 Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Domínguez Benavides
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Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]
Arab J Math, 2023 Anastassiou GA, Karateke S.
europepmc +1 more source
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
wiley +1 more source
Open Mathematics, 2019 Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
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Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2023 Anastassiou GA, Karateke S.
europepmc +1 more source