×

zbMATH — the first resource for mathematics

On ’Alternierende Verfahren’ for general positive operators. (English) Zbl 0116.10403

MSC:
47-XX Operator theory
60-XX Probability theory and stochastic processes
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] D. L. Burkholder and Y. S. Chow, Iterates of conditional expectation operators, Proc. Amer. Math. Soc. 12 (1961), 490 – 495. · Zbl 0106.33201
[2] R. V. Chacon and D. S. Ornstein, A general ergodic theorem, Illinois J. Math. 4 (1960), 153 – 160. · Zbl 0134.12102
[3] Mahlon M. Day, Normed linear spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge. Heft 21. Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. · Zbl 0082.10603
[4] J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. · Zbl 0053.26802
[5] Dunford-Schwarz, Linear operators, Vol. I, Interscience, New York, 1958.
[6] Paul R. Halmos, Lectures on ergodic theory, Publications of the Mathematical Society of Japan, no. 3, The Mathematical Society of Japan, 1956. · Zbl 0073.09302
[7] Eberhard Hopf, On the ergodic theorem for positive linear operators, J. Reine Angew. Math. 205 (1960/1961), 101 – 106. · Zbl 0103.33801 · doi:10.1515/crll.1960.205.101 · doi.org
[8] Hurwitz-Courant, Funktionen Theorie, Springer, Berlin, 1929.
[9] Michel Loève, Probability theory, 2nd ed. The University Series in Higher Mathematics. D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto-New York-London, 1960. · Zbl 0095.12201
[10] Von Neumann, Functional operators, 2 vols., Princeton Univ. Press, Princeton, N. J., 1950. · Zbl 0039.28401
[11] Gian-Carlo Rota, On the representation of aeraging operators, Rend. Sem. Mat. Univ. Padova 30 (1960), 52 – 64.
[12] Norbert Wiener, On the factorization of matrices, Comment. Math. Helv. 29 (1955), 97 – 111. · Zbl 0064.06301 · doi:10.1007/BF02564273 · doi.org
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.