On the Spectrum of Difference and Differential Operators in Weighted Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 80-83
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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},
year = {2010},
volume = {44},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/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