Results 91 to 100 of about 755,891 (241)

BANACH FAMILIES AND THE IMPLICIT FUNCTION THEOREM [PDF]

open access: yes
We generalise the classical implicit function theorem (IFT) for a family of Banach spaces, with the resulting implicit function having derivatives that are locally Lipschitz to very strong operator norms.Banach spaces, Implicit Function ...
Mertens, Jean-Francois, Rubinchik, Anna
core  

On relatively compact sets in quasi-Banach function spaces

open access: yes, 2019
This paper is devoted to the study of the relatively compact sets in Quasi-Banach function spaces, providing an important improvement of the known results.
Weichao Guo, Guoping Zhao
semanticscholar   +1 more source

Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley   +1 more source

Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces

open access: yesJournal of Function Spaces, 2019
In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which ...
Awad A. Bakery, Mustafa M. Mohammed
doaj   +1 more source

A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models

open access: yesStat, Volume 15, Issue 1, March 2026.
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes   +4 more
wiley   +1 more source

The Classical Integral Operators in Weighted Lorentz Spaces with Variable Exponent. [PDF]

open access: yes
In this paper the Lorentz spaces with variable exponent are introduced. These Banach function spaces are defined on the base of variable Lebesgue spaces. Boundedness of classical integral operators are proved in variable Lorentz spaces.
D.M. Israfilov, N.P. Tuzkaya
core   +1 more source

The Functional Delta Method for Deriving Asymptotic Distributions

open access: yesWIREs Computational Statistics, Volume 18, Issue 1, March 2026.
The distribution of the scaled difference between the plug‐in estimator Tθ̂n$$ T\left({\hat{\boldsymbol{\theta}}}_n\right) $$ and the true parameter Tθ0$$ T\left({\boldsymbol{\theta}}_0\right) $$ is approximated by the distribution of the scaled difference between θ̂n$$ {\hat{\boldsymbol{\theta}}}_n $$ and θ0$$ {\boldsymbol{\theta}}_0 $$ and a ...
Eric Beutner
wiley   +1 more source

p-representable operators in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Let E and F be Banach spaces. An operator T∈L(E,F) is called p-representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g∈Lq(μ,F), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
doaj   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji   +3 more
wiley   +1 more source

A characterization of Walrasian economies of infinity dimension [PDF]

open access: yes
We consider a pure exchange economy, where agent's consumption spaces are Banach spaces, goods are contingent in time of states of the world, the utility function of each agent is not necessarily a separable function, but increasing, quasiconcave, and ...
Elvio Accinelli, Martín Puchet
core  

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