Results 1 to 10 of about 5,128,344 (204)

Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces [PDF]

open access: goldAbstract and Applied Analysis, 2014
Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T, are extended to ...
Angela A. Albanese   +2 more
doaj   +3 more sources

Fréchet spaces of general Dirichlet series [PDF]

open access: bronzeRACSAM, 2021
Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series ∑ann-s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Andreas Defant   +3 more
openalex   +3 more sources

Cosine families of operators in a class of Fréchet spaces

open access: diamondProyecciones (Antofagasta), 2018
M. sova [10] proved that the infinitesimal generator of all uniformly continuous cosine family, of operators in Banach space, is a bounded operator. We show by counter-example that the result mentioned above is not true in general on Fréchet spaces, and ...
Rachid Ameziane Hassani   +3 more
openalex   +3 more sources

F-HYPERCYCLIC OPERATORS ON FRÉCHET SPACES

open access: goldPublications de l'Institut Math?matique (Belgrade), 2018
We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces.
Marko Kostić
openalex   +2 more sources

Controllability of Fractional Integro-Differential Equations with Delays and Singular Kernels in Fréchet Spaces

open access: goldMathematics
This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces.
Fatima Mesri   +2 more
doaj   +2 more sources

On a System of Volterra Type Hadamard Fractional Integral Equations in Fréchet Spaces [PDF]

open access: goldDiscrete Dynamics in Nature and Society, 2018
In this article we present some results concerning the existence of solutions for a system of Hadamard integral equations. Our investigation is conducted with an application of an extension of the fixed point theorem of Burton-Kirk in Fréchet spaces.
Saïd Abbas   +2 more
doaj   +2 more sources

Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

open access: yesCubo (Temuco), 2023
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
A. Bensalem   +3 more
semanticscholar   +1 more source

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

open access: yes, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael   +1 more
core   +4 more sources

Some results on asymptotically normable Frechet spaces

open access: yesBibechana, 2010
In this paper, it is shown that the asymptotically normable spaces are the smallest class of Frechet spaces which contains the nuclear Kothe spaces with continuous norm, the Banach spaces and is closed under e-tensor products and sub-spaces.
GK Palei, NP Sah
doaj   +3 more sources

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

open access: yesAIMS Mathematics, 2020
This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces ...
M. Benchohra   +3 more
semanticscholar   +1 more source

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