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Über das Spektrum positiver Operatoren. (German) Zbl 0179.18002
[1]Ando, T.: Positive linear operators in semi-ordered linear spaces. J. Fac. Sci. Hokkaido Univ. Ser. I.13, 214-228 (1957).
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[3]Bonsall, F. F., and B. J. Tomiuk: The semi-algebra generated by a compact linear operator. Proc. Edinburgh Math. Soc.14 (S. II), 177-196 (1965). · Zbl 0132.09601 · doi:10.1017/S0013091500008774
[4]Day, M. M.: Normed linear spaces. Berlin-Göttingen-Heidelberg: Springer 1962.
[5]Ellis, A. J.: Extreme positive operators. Quart. J. Math. Oxford Ser., (2)15, 342-344 (1964). · Zbl 0196.14403 · doi:10.1093/qmath/15.1.342
[6]Fréchet, M.: Sur l’allure asymptotique de densités itérées dans le problème de probabilités ?en chaine?. Bull. Soc. Math. France62, 68-83 (1934).
[7]Frobenius, G.: Über Matrizen aus positiven Elementen. S.-B. Preuss. Akad. Wiss. Berlin1908, 471-476;1909, 514-518.
[8]Probenius, G.: Über Matrizen aus nicht negativen Elementen. S.-B. Preuss. Akad. Wiss. Berlin1912, 456-477.
[9]Hewitt, E., and K. A. Ross: Abstract harmonic analysis, I. Berlin-Göttingen-Heidelberg: Springer 1963.
[10]Halmos, P. R.: Lectures on ergodic theory. Tokyo: Math. Soc. Japan 1956.
[11]?, and J. von Neumann: Operator methods in classical mechanics, II. Ann. of Math. (2)43, 332-350 (1942). · Zbl 0063.01888 · doi:10.2307/1968872
[12]Jakobs, K.: Neuere Methoden und Ergebnisse der Ergodentheorie. Berlin-Göttingen-Heidelberg: Springer 1960.
[13]Kakutani, S.: Concrete representation of abstract (M)-spaces. Ann. of Math. (2)42, 994-1024 (1941). · Zbl 0060.26604 · doi:10.2307/1968778
[14]Karlin, S.: Positive operators. J. Math. Mech.8, 907-938 (1955).
[15]Köthe, G.: Topologische lineare Räume, I. Berlin-Göttingen-Heidelberg: Springer 1960.
[16]Krein, M. G., and M. A. Rutman: Linear operators leaving invariant a cone in a Banach space. Uspehi Mat. Nauk (N.S.)3, No. 1 (23), 3-95 (1948) [Russisch]. Auch A. M. S. Transl.26 (1950).
[17]Niiro, F.: On indecomposable operators inl p (1<p<?) and a problem of H. Schaefer. Sci. Papers College Gen. Educ. Univ. Tokyo14, 165-179 (1964).
[18]?: On indecomposable operators inL p (1<p<?) and a problem of H. H. Schaefer. Sci. Papers College Gen. Educ. Univ. Tokyo16, 1-24 (1966).
[19]Perron, O.: Zur Theorie der Matrices. Math. Ann.64, 248-263 (1907). · Zbl 02643434 · doi:10.1007/BF01449896
[20]Rickart, C. E.: General theory of Banach algebras. Princeton: van Nostrand 1960.
[21]Rota, G.-C.: On the eigenvalues of positive operators. Bull. A. M. S.67, 556-558 (1961). · Zbl 0107.09801 · doi:10.1090/S0002-9904-1961-10687-3
[22]Schaefer, H. H.: Some spectral properties of positive linear operators. Pacific J. Math.10, 1009-1019 (1960).
[23]?: Spektraleigenschaften positiver Operatoren. Math. Z.82, 303-313 (1963). · Zbl 0151.19801 · doi:10.1007/BF01111398
[24]?: On the point spectrum of positive operators. Proc. A. M. S.15, 56-60 (1964). · doi:10.1090/S0002-9939-1964-0163172-0
[25]?: Über das Randspektrum positiver Operatoren. Math. Ann.162, 289-293 (1965). · Zbl 0151.19802 · doi:10.1007/BF01369104
[26]?: Topological vector spaces. New York: Macmillan 1966.
[27]?: Eine Klasse irreduzibler positiver Operatoren. Math. Ann.165, 26-30 (1966). · Zbl 0151.19901 · doi:10.1007/BF01351663
[28]Schaefer, H. H.: Invariant ideals of positive operators inC(X). Erscheint im Illinois J. Math.
[29]Wielandt, H.: Unzerlegbare, nicht negative Matrizen. Math. Z.52, 642-648 (1950). · Zbl 0035.29101 · doi:10.1007/BF02230720