Results 21 to 30 of about 519,001 (206)

A note on preservation of spectra for two given operators [PDF]

open access: yesMathematica Bohemica, 2020
We study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space.
Carlos Carpintero   +3 more
doaj   +1 more source

A Picard-Type Iterative Scheme for Fredholm Integral Equations of the Second Kind

open access: yesMathematics, 2021
In this work, we present an application of Newton’s method for solving nonlinear equations in Banach spaces to a particular problem: the approximation of the inverse operators that appear in the solution of Fredholm integral equations.
José M. Gutiérrez   +1 more
doaj   +1 more source

B-Fredholm Spectra of Drazin Invertible Operators and Applications

open access: yesAxioms, 2021
In this article, we consider Drazin invertible operators for study of the relationship between their B-Fredholm spectra and the transfer between some of the spectral properties defined through B-Fredholm spectra of this class of operators.
Elvis Aponte   +3 more
doaj   +1 more source

Unbounded B-Fredholm operators on Hilbert spaces [PDF]

open access: yes, 2008
This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators.
Berkani, M.   +3 more
core   +1 more source

Invertibility and Fredholm Property of Fock Toeplitz Operators

open access: yesMathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +1 more source

Fredholm Operators: A Counterexample [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
In 1960 Pietsch [I] gave an example of a locally convex linear topological space for which the set of Fredholm operators is not open. It is the purpose of this note to show that the Fredholm class is not open for any weak locally convex space. A Hausdorff locally convex space is called a weak locally convex space if every null-neighborhood contains a ...
openaire   +1 more source

Parity and generalized multiplicity [PDF]

open access: yes, 1991
Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp.   +4 more
core   +1 more source

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core   +2 more sources

FREDHOLM PROPERTY OF COMPOSITE TWO-DIMENSIONAL INTEGRAL OPERATORS WITH HOMOGENEOUS SINGULAR-TYPE KERNELS IN pL SPACE

open access: yesAdvanced Engineering Research, 2014
The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak   +1 more
doaj   +1 more source

On ellipticity of operators with shear mappings

open access: yesСовременная математика: Фундаментальные направления, 2023
The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators.
A. V. Boltachev
doaj   +1 more source

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