Results 41 to 50 of about 2,211 (224)

A metric approach to limit operators

, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

Some Remarks on Perturbation Classes of Semi-Fredholm and Fredholm Operators [PDF]

International Journal of Mathematics and Mathematical Sciences, 2007
We show the existence of Banach spacesX,Ysuch that the set of strictly singular operators𝒮(X,Y)(resp., the set of strictly cosingular operators𝒞𝒮(X,Y))would be strictly included inℱ+(X,Y)(resp.,ℱ−(X,Y))for the nonempty class of closed densely defined upper semi-Fredholm operatorsΦ+(X,Y)(resp., for the nonempty class of closed densely defined lower semi-
Abdelkader Dehici, Khaled Saoudi
openaire   +2 more sources

A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators [PDF]

The American Mathematical Monthly, 2001
Let $A$ be a linear bounded operator in a Hilbert space $H$, $N(A)$ and $R(A)$ its null-space and range, and $A^*$ its adjoint.
openaire   +3 more sources

Left and Right B-Fredholm Operators

Ukrainian Mathematical Journal, 2022
UDC 517.9 We introduce the families of left and right B-Fredholm operators in Banach space, realize their stabilization with the help of finite-rank operators, and  prove a spectral mapping theorem for the left and right B-Fredholm operators.
Abdmouleh, F., Lakhal, T. Ben
openaire   +2 more sources

Factorization of Fredholm operators

Matematychni Studii, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A note on the index of $B$-Fredholm operators [PDF]

, 2004
summary:From Corollary 3.5 in [Berkani, M; Sarih, M.; Studia Math. 148 (2001), 251–257] we know that if $S$, $ T$ are commuting $B$-Fredholm operators acting on a Banach space $X$, then $ST$ is a $B$-Fredholm operator.
Zariouh, Hassan, Berkani, M., Sarih, Mustapha, Medková, D., Berkani, Mohammed   +4 more
core   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Unbounded generalized B-Fredholm operators

Extracta Mathematicae
In this paper, we investigate a new class of unbounded linear operators, that is, the unbounded generalized B-Fredholm operators in Banach space. More explicitly, we provide a characterization of this class of operators and some of its basic properties ...
M. Boudhief
doaj   +1 more source

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

Mathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source

Parity and generalized multiplicity [PDF]

, 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., Pejsachowicz, Jacobo, FitzpatrickP   +2 more
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