The existence of eigenvalues for integral operators
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- by Samuel Karlin
- Trans. Amer. Math. Soc. 113 (1964), 1-17
- DOI: https://doi.org/10.1090/S0002-9947-1964-0169090-0
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References
- F. R. Gantmaher and M. G. Kreĭn, Oscillyacionye matricy i yadra i malye kolebaniya mehaničeskih sistem, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad, 1950 (Russian). 2d ed. MR 0049462 S. Karlin, Oscillation properties of eigenfunctions of totally positive integral operators, (to appear).
- Samuel Karlin, Total positivity and convexity preserving transformations, Proc. Sympos. Pure Math., Vol. VII, Amer. Math. Soc., Providence, R.I., 1963, pp. 329–347. MR 0152840 —, Total positivity and applications, Stanford Univ. Press, Stanford, Calif. (to appear).
- M. G. Kreĭn and M. A. Rutman, Linear operators leaving invariant a cone in a Banach space, Amer. Math. Soc. Translation 1950 (1950), no. 26, 128. MR 0038008
- 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
- Samuel Karlin, Positive operators, J. Math. Mech. 8 (1959), 907–937. MR 0114138, DOI 10.1512/iumj.1959.8.58058
- Kôsaku Yosida and Shizuo Kakutani, Operator-theoretical treatment of Markoff’s process and mean ergodic theorem, Ann. of Math. (2) 42 (1941), 188–228. MR 3512, DOI 10.2307/1968993 G. Pólya and G. Szegö, Aufgaben and Lehrsatze aus der Analysis, Vol. II, Springer, Berlin, 1925.
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 113 (1964), 1-17
- MSC: Primary 47.70
- DOI: https://doi.org/10.1090/S0002-9947-1964-0169090-0
- MathSciNet review: 0169090