Results 81 to 90 of about 462,806 (159)

Vector valued logarithmic residues and the extraction of elementary factors [PDF]

An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
core  

Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2016
We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
doaj  

Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations

Advanced Nonlinear Studies, 2020
By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
doaj   +1 more source

Fredholm-type operators and index

Journal of Mathematical Analysis and Applications
arXiv admin note: text overlap with arXiv:2401 ...
Alaa Hamdan, Mohammed Berkani
openaire   +2 more sources

Fredholm Operators and Spectral Flow [PDF]

, 2016
These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.
openaire   +3 more sources

Some New Properties in Fredholm Theory, Schechter Essential Spectrum, and Application to Transport Theory

Journal of Inequalities and Applications, 2008
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader, Abdelmoumen Boulbeba, Jeribi Aref, Mnif Maher   +3 more
doaj  

Bifurcation theory for Fredholm operators

Journal of Differential Equations
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez, Juan Carlos Sampedro   +1 more
openaire   +3 more sources

Fredholm composition operators [PDF]

Proceedings of the American Mathematical Society, 1997
Fredholm composition operators on a variety of Hilbert spaces of analytic functions on domains in C N
openaire   +1 more source

The domain dependence of dominant Fredholm eigenvalues for the Helmholtz operator [PDF]

, 1983
In this article we study the behaviour of dominant Fredholm eigenvalues for the Helmholtz operator in a regular bounded open set Ω in Rm relative to some larger set Ω′ if the latter is altered.
Donig, J.
core   +1 more source

A note on the decomposition of Fredholm operators

Demonstratio Mathematica, 2008
AbstractWe generalize a result of F. Szigeti concerning the decomposition of Fredholm operators on Banach spaces.
openaire   +1 more source