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Stability of essential spectra of closed operators under T-compact equivalence and applications

SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2019
The main subject of this paper is to introduce and study the concept of T -compact equivalence of closed linear operators in Hilbert spaces. Many results are proved via this equivalence, especially the invariance of essential spectra of T -compact ...
N. Khaldi, B. Messirdi
semanticscholar   +1 more source

Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures

Oberwolfach Reports, 2018
Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda.
David Damanik   +2 more
semanticscholar   +1 more source

The Coupling Constant Threshold Effects for One-Particle Schrödinger-Type Operators in Lattice

Journal of Geometry and Symmetry in Physics
We investigate the threshold effects self-adjoint bounded discrete Schrödinger-type operators in the Hilbert space of square-summable complex-valued functions defined on the d -dimensional lattice and establish the existence of eigenvalues and their ...
Firdavs Almuratov   +2 more
semanticscholar   +1 more source

Perturbating Upper Semi-fredholm With Strictly Singular Operators

Sarajevo Journal of Mathematics
Given an upper semi-Fredholm operator $L$, following the work of P. Cassaza and N. Kalton [1] and others, we introduce and study a set of upper semi-Fredholm operators having the same index as $L$ and which is invariant under strictly singular ...
Fernando Galaz-Fontes
semanticscholar   +1 more source

Computation of Eigenvalues of Discrete Lower Semibounded Operators

, 2016
S. I. Kadchenko   +2 more
semanticscholar   +1 more source

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