Results 221 to 230 of about 160,382 (249)

Spectral Theory for Perturbations of Unbounded Linear Operators

2016
In this chapter we first study the spectral theory of completely continuous perturbations of unbounded Fredholm operators in the non-archimedean Hilbert space \( \mathbb{E}_{\omega } \).
Toka Diagana, François Ramaroson
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Spectral Theory for Perturbations of Bounded Diagonal Linear Operators

2016
Our main goal in this chapter consists of computing the spectrum of the class of bounded linear operators, \( A = D + F \) where D is a diagonal operator and F is a finite rank operator. In order to achieve that, we will make extensive use of the theory of Fredholm operators and the notion of essential spectrum.
Toka Diagana, François Ramaroson
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Krylov-Bogolyubov substitution in the perturbation theory of linear operators

Ukrainian Mathematical Journal, 1985
This paper intends to clarify the role of the Krylov-Bogolyubov transformation [\textit{Yu. A. Mitropol'skij}, The Method of Averaging in Nonlinear Mechanics (in Russian) (1971; Zbl 0325.70002)] in the study of the spectral properties of perturbed operators \(A-\epsilon B ...
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Stationary Markovian Decision Problems and Perturbation Theory of Quasi-Compact Linear Operators

Mathematics of Operations Research, 1977
In this paper stationary Markov decision problems are considered with arbitrary state space and compact space of strategies. Conditions are given for the existence of an average optimal strategy. This is done by using the fact that a continuous function on a compact space attains its minimum. To prove the continuity of the average costs as function on
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Perturbation of the spectrum and wave operators in linear transport theory

Russian Mathematical Surveys, 1999
Summary: We study spectral properties of a nonself-adjoint integro-differential operator \[ L=L_0+iV=i\mu\;\frac{\partial}{\partial x}+ic(x)\int^1_{-1}\cdot\;d\mu \] acting on the space \({\mathcal H}= L^2(\mathbb{R}\times [-1,1])\), with domain \(\{\psi\in{\mathcal H}:\psi(\cdot,\mu)\) absolutely continuous for almost all \(\mu\in[-1,1]\), \(L_0\psi ...
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Methods of abstract harmonic analysis in the perturbation of linear operators

Siberian Mathematical Journal, 1983
The basic results of the paper refer to questions of similarity of a certain class of non-self-adjoint operators. Methods of abstract harmonic analysis for operators from certain group algebras connected with an unperturbed operator are used. Applications are criteria for the spectrality of perturbed spectral operators with discrete spectrum ...
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Effective perturbation theory for simple isolated eigenvalues of linear operators

Journal of Operator Theory, 2018
We propose a new approach to the spectral theory of perturbed linear operators in the case of a simple isolated eigenvalue. We obtain two kinds of results: ``radius bounds'' which ensure perturbation theory applies for perturbations up to an explicit size, and ``regularity bounds'' which control the variations of eigendata to any order.
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An abstract analog of the krylov-bogolyubov transformation in the perturbation theory of linear operators

Functional Analysis and Its Applications, 1999
UDC 517.9 Let ~'be a Bmlach space over a field K E {R,C}, and let B(a,p) be the open ball in ~'with center a E ~" and radius p > 0. By Lipk(~ a, p), k E NU {0}, we denote the Banach space of continuous mappings (operators) defined on the closed ball B(a, p) = B(a, p), ranging in ~'.
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Perturbation of differential operators on high-codimension manifold and the extension theory for symmetric linear relations in an indefinite metric space

Theoretical and Mathematical Physics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic

Ca-A Cancer Journal for Clinicians, 2011
Timothy A Yap, Johann Sebastian de Bono
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