Mathematics – Functional Analysis
Scientific paper
2001-02-09
Doklady Mathematics 62:2 (2000) 169-171
Mathematics
Functional Analysis
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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