On the eigenvalues of positive operators
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- by Gian-Carlo Rota PDF
- Bull. Amer. Math. Soc. 67 (1961), 556-558
References
- Garrett Birkhoff, Extensions of Jentzsch’s theorem, Trans. Amer. Math. Soc. 85 (1957), 219–227. MR 87058, DOI 10.1090/S0002-9947-1957-0087058-6 2. Frobenius, Ueber Matrizen aus positiven Elementen, S.-B. Preuss. Akad. Wiss. Berlin (1908) pp. 471-476, (1909) pp. 514-518, (1912) pp. 456-477. 3. Jentzsch, Ueber Integralgleichungen mit positiven Kern, Crelle’s Journal vol. 141 (1912) pp. 235-244.
- Samuel Karlin, Positive operators, J. Math. Mech. 8 (1959), 907–937. MR 0114138, DOI 10.1512/iumj.1959.8.58058
- Oskar Perron, Zur Theorie der Matrices, Math. Ann. 64 (1907), no. 2, 248–263 (German). MR 1511438, DOI 10.1007/BF01449896
- C. R. Putnam, On bounded matrices with non-negative elements, Canadian J. Math. 10 (1958), 587–591. MR 98304, DOI 10.4153/CJM-1958-059-1
- Hans Samelson, On the Perron-Frobenius theorem, Michigan Math. J. 4 (1957), 57–59. MR 86041
- Helmut Schaefer, Some spectral properties of positive linear operators, Pacific J. Math. 10 (1960), 1009–1019. MR 115090, DOI 10.2140/pjm.1960.10.1009 9. J. T. Schwartz, Eigenvalues of positive compact operators, to appear in Communications PAM.
Additional Information
- Journal: Bull. Amer. Math. Soc. 67 (1961), 556-558
- DOI: https://doi.org/10.1090/S0002-9904-1961-10687-3
- MathSciNet review: 0131773