Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces
Matematičeskie zametki, Tome 86 (2009) no. 5, pp. 673-680

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

We describe the spectrum of linear difference and differential operators with unbounded operator coefficients in weight spaces.
Keywords: linear difference operator, linear differential operator, weight space, complex Banach space, evolution operator, spectrum of an operator, Beurling–Gelfand formula.
M. S. Bichegkuev. Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces. Matematičeskie zametki, Tome 86 (2009) no. 5, pp. 673-680. http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a3/
@article{MZM_2009_86_5_a3,
     author = {M. S. Bichegkuev},
     title = {Linear {Difference} and {Differential} {Operators} with {Unbounded} {Operator} {Coefficients} in {Weight} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {673--680},
     year = {2009},
     volume = {86},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a3/}
}
TY  - JOUR
AU  - M. S. Bichegkuev
TI  - Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces
JO  - Matematičeskie zametki
PY  - 2009
SP  - 673
EP  - 680
VL  - 86
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a3/
LA  - ru
ID  - MZM_2009_86_5_a3
ER  - 
%0 Journal Article
%A M. S. Bichegkuev
%T Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces
%J Matematičeskie zametki
%D 2009
%P 673-680
%V 86
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_2009_86_5_a3/
%G ru
%F MZM_2009_86_5_a3

[1] B. E. Rhoades, “The fine spectra for weighted mean operators in $B(l_p)$”, Integral Equations Operator Theory, 12:1 (1989), 82–98 | DOI | MR | Zbl

[2] B. E. Rhoades, “The spectra of weighted mean operators on $bv_0$”, J. Austral. Math. Soc. Ser. A, 52:2 (1992), 242–250 | DOI | MR | Zbl

[3] A. G. Baskakov, “O korrektnosti lineinykh differentsialnykh operatorov”, Matem. sb., 190:3 (1999), 3–28 | MR | Zbl

[4] A. G. Baskakov, “Lineinye differentsialnye operatory s neogranichennymi operatornymi koeffitsientami i polugruppy raznostnykh operatorov”, Matem. zametki, 59:6 (1996), 811–820 | MR | Zbl

[5] N. Danford, Dzh. Shvarts, Lineinye operatory. T. 1. Obschaya teoriya, IL, M., 1962 | MR | Zbl

[6] R. T. Rau, “Hyperbolic evolution semigroups on vector valued function spaces”, Semigroup Forum, 48:1 (1994), 107–118 | DOI | MR | Zbl