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Title: Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains (English)
Author: Šidák, Zbyněk
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 14
Issue: 3
Year: 1964
Pages: 438-443
Summary lang: Russian
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Category: math
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MSC: 60.65
idZBL: Zbl 0146.38501
idMR: MR0176527
DOI: 10.21136/CMJ.1964.100631
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Date available: 2008-06-09T13:22:39Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100631
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Reference: [1] С. Derman: A solution to a set of fundamental equations in Markov chains.Proc. Amer. Math. Soc. 5 (1954), 332-334. Zbl 0058.34504, MR 0060757, 10.1090/S0002-9939-1954-0060757-0
Reference: [2] D. G. Kendall: Unitary dilations of Markov transition operators, and the corresponding integral representations for transition probability matrices.Probability & Statistics, The Harald Cramér Volume, New York 1959, 139-161. Zbl 0117.35801, MR 0116389
Reference: [3] E. Nelson: The adjoint Markoff process.Duke Math. J. 25 (1958), 671 -690. Zbl 0084.13402, MR 0101555, 10.1215/S0012-7094-58-02561-4
Reference: [4] Z. Šidák: Eigenvalues of operators in denumerable Markov chains.Trans. Third Prague Conf. on Inf. Theory, Stat. Dec. Functions, Random Proc., Prague 1962, 641 - 656. MR 0192560
Reference: [5] Z. Šidák: Některé věty a příklady z teorie operátorů ve spočetných Markovových řetězcích.(Some theorems and examples in the theory of operators in denumerable Markov chains.) Časopis pro pěst. matematiky 88 (1963), No. 4, 457-478. MR 0198548
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