Invertibility and the Fredholm property of difference operators

Mathematical Notes

Volumn 67, Issue 6, 2000, Pages 690-698

  Baskakov, A G ^a  

^a VORONEZH STATE UNIVERSITY   (Russian Federation)

Author keywords

Abstract difference operator; Evolution operator; Exponential dichotomy; Fredholm property; Invertibility; Uniform injectivity

Indexed keywords

EID: 11144255492     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02675622     Document Type: Article

References (8)

1. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer-Verlag, Berlin-New York (1981).
2. A. G. Baskakov, "On correct linear differential operators," Mat. Sb. [Russian Acad. Sci. Sb. Math.], 190, No. 3, 3-28 (1999).
3. V. V. Zhikov, "Some questions of admissibility and dichotomy. The averaging principle," Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.], 40, No. 6, 1380-1408 (1976).
4. A. G. Baskakov, "Abstract harmonic analysis and asymptotic estimates for elements of inverse matrices," Mat. Zametki [Math. Notes], 52, No. 2, 17-25 (1992).
5. V. G. Kurbatov, "Algebras of difference and integral operators," Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 24, No. 2, 98-99 (1990).
6. N. Dunford and J. T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience, New York-London (1958).
7. V. S. Rabinovich, "Operator-valued discrete convolutions and some of their applications," Mat. Zametki [Math. Notes], 51, No. 1, 90-101 (1992).
8. A. G. Baskakov, "Semigroups of difference operators in spectral analysis of linear differential operators," Funktsional. Anal, i Prilozhen. [Functional Anal. Appl.], 30, No. 3, 1-11 (1996).