Title:
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Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains (English) |
Author:
|
Šidák, Zbyněk |
Language:
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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 |
. |
Category:
|
math |
. |
MSC:
|
60.65 |
idZBL:
|
Zbl 0146.38501 |
idMR:
|
MR0176527 |
DOI:
|
10.21136/CMJ.1964.100631 |
. |
Date available:
|
2008-06-09T13:22:39Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100631 |
. |
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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