Displaying similar documents to “On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.”

The spectra of general differential operators in the direct sum spaces

Sobhy El-sayed Ibrahim (2004)

Czechoslovak Mathematical Journal

Similarity:

In this paper, the general ordinary quasi-differential expression M p of n -th order with complex coefficients and its formal adjoint M p + on any finite number of intervals I p = ( a p , b p ) , p = 1 , ⋯ , N , are considered in the setting of the direct sums of L w p 2 ( a p , b p ) -spaces of functions defined on each of the separate intervals, and a number of results concerning the location of the point spectra and the regularity fields of general differential operators generated by such expressions are obtained. Some of these are extensions...

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

Toka Diagana, George D. McNeal (2009)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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