A theorem on eigenvectors in idempotent spaces

Mathematics – Functional Analysis

Scientific paper

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4 pages, no figures; some definitions corrected

Scientific paper

This paper suggests an algebraic version of the theorem on the existence of
eigenvectors for linear operators in abstract idempotent spaces. Earlier, the
theorem on the existence of eigenvectors was only known for the cases of a free
finite-dimensional semimodule and for compact operators in semimodules of real
continuous functions.

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