Displaying similar documents to “Common spectral properties of linear operators A and B such that A B A = A 2 and B A B = B 2 .”

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...

An extension of invertibility of Hammerstein-type operators

Radu Tunaru (1999)

Czechoslovak Mathematical Journal

Similarity:

My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.