Some properties of infinite dimensional discrete operators
KeywordsDiscrete operators, normal solvability, Fredholm property, topological degree
AbstractThe paper is devoted to infinite dimensional discrete operators that can be considered as a difference analog of differential equations on the whole axis. We obtain a necessary and sufficient condition in order for the linear operator to be normally solvable. Topological degree for nonlinear operators is constructed.
How to Cite
APREUTESEI, Narcisia C. & VOLPERT, Vitaly A. Some properties of infinite dimensional discrete operators. Topological Methods in Nonlinear Analysis [online]. 1 September 2004, T. 24, nr 1, s. 159–181. [accessed 1.2.2023].
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