The spectra of general differential operators in the direct sum spaces

Sobhy El-sayed Ibrahim

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On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.

El-Sayed Ibrahim, Sobhy (2003)

International Journal of Mathematics and Mathematical Sciences

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Common spectral properties of linear operators $A$ and $B$ such that $A B A = A^{2}$ and $B A B = B^{2}$ .

Schmoeger, Christoph (2006)

Publications de l'Institut Mathématique. Nouvelle Série

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A new spectral theory for nonlinear operators and its applications.

Feng, W. (1997)

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Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

Toka Diagana, George D. McNeal (2009)

Commentationes Mathematicae Universitatis Carolinae

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The paper is concerned with the spectral analysis for the class of linear operators $A = D_{λ} + X \otimes Y$ in non-archimedean Hilbert space, where $D_{λ}$ is a diagonal operator and $X \otimes Y$ is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.

On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator

S. M. Bahri (2012)

Mathematica Bohemica

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In the present work, using a formula describing all scalar spectral functions of a Carleman operator $A$ of defect indices $(1, 1)$ in the Hilbert space $L^{2} (X, μ)$ that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator $A$ .

Displaying similar documents to “The spectra of general differential operators in the direct sum spaces”

On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.

Common spectral properties of linear operators A and B such that A B A = A 2 and B A B = B 2 .

A new spectral theory for nonlinear operators and its applications.

Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator

Common spectral properties of linear operators $A$ and $B$ such that $A B A = A^{2}$ and $B A B = B^{2}$ .