Results 11 to 20 of about 2,211 (224)

Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
doaj   +2 more sources

T-Fredholm analysis and application to operator theory

open access: yesJournal of Mathematical Analysis and Applications, 2010
In this paper we study the general setting of Fredholm theory relative to a Banach algebra homomorphism T. Mainly we prove some perturbation results on the T-Browder spectrum.
Hamadi Baklouti
exaly   +2 more sources

Operator Estimates for Fredholm Modules

open access: yesCanadian Journal of Mathematics, 2000
We study estimates of the typewhere φ(t) = t(1 + t2)−1/2, D0 = D0* is an unbounded linear operator affiliated with a semifinite von Neumann algebra , D − D0 is a bounded self-adjoint linear operator from and , where E(, τ) is a symmetric operator space ...
F. A. Sukochev
core   +3 more sources

The generalized Fredholm operators [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
Let X, Y be Banach spaces over either the real field or the complex field. A continuous linear operator will be called a generalized Fredholm operator if T ( X ) T(X) is closed in Y, and Ker T and Coker T ...
Kung Wei Yang
core   +3 more sources

Nonlinear Ritz approximation for Fredholm functionals

open access: yesElectronic Journal of Differential Equations, 2015
In this article we use the modify Lyapunov-Schmidt reduction to find nonlinear Ritz approximation for a Fredholm functional. This functional corresponds to a nonlinear Fredholm operator defined by a nonlinear fourth-order differential equation.
Mudhir A. Abdul Hussain
doaj   +1 more source

Fredholm Toeplitz operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
Whether a Toeplitz operator on H 2 {H^2} is Fredholm is shown to depend only on the local behavior of the inducing function.
R. G. Douglas, Donald Sarason
core   +3 more sources

On Analytic Perturbations of Linear Equations in the Case of Incomplete Generalized Jordan Set

open access: yesСовременная математика: Фундаментальные направления, 2022
Based on the methods of the theory of bifurcations, the problem of perturbation of linear equations by small analytic terms is considered. In contrast to the work of Trenogin [7], the case of an incomplete generalized Jordan set of a linear Fredholm ...
D. G. Rakhimov, D. Akhmadzhanova
doaj   +1 more source

Regularised discretisations obtained from first‐kind Fredholm operator equations

open access: yesIET Microwaves, Antennas & Propagation, 2021
Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
doaj   +1 more source

Some special characterisations of Fredholm operators in Banach space

open access: yesBibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
doaj   +3 more sources

Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity

open access: yesAxioms, 2022
This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova   +2 more
doaj   +1 more source

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