Spectrum of $X$ satisfying $0\leq X^{p}\leq X$
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- by Ralph Gellar PDF
- Proc. Amer. Math. Soc. 30 (1971), 32-36 Request permission
Abstract:
A sharp estimate is found for the possible spectrum of an element satisfying the polynomial inequality $0 \leqq {X^p} \leqq X$ in a Dedekind $\sigma$-complete real linear algebra.References
- Ralph DeMarr, On partially ordering operator algebras, Canadian J. Math. 19 (1967), 636–643. MR 212579, DOI 10.4153/CJM-1967-057-6
- Ralph DeMarr, A generalization of the Perron-Frobenius theorem, Duke Math. J. 37 (1970), 113–120. MR 254592
- Peter Lancaster, Theory of matrices, Academic Press, New York-London, 1969. MR 0245579
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 32-36
- MSC: Primary 46.06
- DOI: https://doi.org/10.1090/S0002-9939-1971-0283542-3
- MathSciNet review: 0283542