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- W2041400703 abstract "Remark 1. The reasoning of the result given by Theorem 1 is the following one: in general, a linear completely continuous operator A: K---t K has no eigenvectors x E K (corresponding to positive eigenvalues) but has necessarily invariant proper subcones K, c K. Several additional conditions under which A admits eigenvectors x E K are given in [3 1. For example, if in addition to the hypothesis of Theorem 1 we assume thatfor each x # 8 which lies on the boundary of K, there is a natural number n = n(x) such that A “x E &, then there is L > 0 and x E K, such that.Ax = Ax." @default.
- W2041400703 created "2016-06-24" @default.
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- W2041400703 date "1982-06-01" @default.
- W2041400703 modified "2023-09-25" @default.
- W2041400703 title "Invariant subcones of a linear completely continuous operator leaving a cone fixed in a Banach space" @default.
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- W2041400703 doi "https://doi.org/10.1016/0022-247x(82)90146-9" @default.
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