Results 1 to 10 of about 5,128,344 (204)
Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces [PDF]
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]
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
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
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
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]
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
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]
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
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
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

