| 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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