Abstract:
We describe the spectrum of a difference operator (a weighted shift operator). We obtain applications to finding spectra of differential operators in weighted function spaces.
Keywords:
difference operator, differential operator, operator spectrum, weighted spaces of sequences and functions.
Citation:
M. S. Bichegkuev, S. V. Besaeva, “Spectral properties of difference and differential operators in weighted spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 16–21; Russian Math. (Iz. VUZ), 55:2 (2011), 13–17