Geodesic
On the Spectrum of Difference and Differential Operators in Weighted Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 80-83.

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the spectrum of weighted shift operators in weighted Banach spaces of two-sided vector sequences. Applications to differential operators in weighted function spaces are given.
Keywords: weighted shift operator, spectrum, differential operator. 
@article{FAA_2010_44_1_a6,
     author = {M. S. Bichegkuev},
     title = {On the {Spectrum} of {Difference} and {Differential} {Operators} in {Weighted} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {80--83},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a6/}
}
TY  - JOUR
AU  - M. S. Bichegkuev
TI  - On the Spectrum of Difference and Differential Operators in Weighted Spaces
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2010
SP  - 80
EP  - 83
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a6/
LA  - ru
ID  - FAA_2010_44_1_a6
ER  - 
%0 Journal Article
%A M. S. Bichegkuev
%T On the Spectrum of Difference and Differential Operators in Weighted Spaces
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2010
%P 80-83
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a6/
%G ru
%F FAA_2010_44_1_a6
M. S. Bichegkuev. On the Spectrum of Difference and Differential Operators in Weighted Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 80-83. http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a6/

[1] A. Antonevich, A. Lebedev, Functional Differential Equations: I. $C^*$-theory, Longman Scientific Technical, Harlow, 1994 | MR | Zbl

[2] V. V. Zhikov, Izv. AN SSSR, ser. matem., 40:6 (1976), 1380–1408 | MR | Zbl

[3] V. V. Zhikov, B. M. Levitan, Pochti periodicheskie funktsii i differentsialnye uravneniya, Izd-vo MGU, M., 1978 | MR | Zbl

[4] A. G. Baskakov, Funkts. analiz i ego pril., 30:3 (1996), 1–11 | DOI | MR | Zbl

[5] A. G. Baskakov, Izvestiya RAN, ser. matem., 73:2 (2009), 3–68 | DOI | MR | Zbl

[6] C. Chicone, Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations, Amer. Math. Soc., Providence, RI, 1999 | MR | Zbl

[7] M. S. Bichegkuev, Matem. zametki, 79:4 (2006), 483–487 | DOI | MR | Zbl