Eigenvalues of operators in l p -spaces in denumerable Markov chains

Zbyněk Šidák

Czechoslovak Mathematical Journal (1964)

  • Volume: 14, Issue: 3, page 438-443
  • ISSN: 0011-4642

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Šidák, Zbyněk. "Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains." Czechoslovak Mathematical Journal 14.3 (1964): 438-443. <http://eudml.org/doc/12230>.

@article{Šidák1964,
author = {Šidák, Zbyněk},
journal = {Czechoslovak Mathematical Journal},
keywords = {probability theory},
language = {eng},
number = {3},
pages = {438-443},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains},
url = {http://eudml.org/doc/12230},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Šidák, Zbyněk
TI - Eigenvalues of operators in $l_p$-spaces in denumerable Markov chains
JO - Czechoslovak Mathematical Journal
PY - 1964
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 3
SP - 438
EP - 443
LA - eng
KW - probability theory
UR - http://eudml.org/doc/12230
ER -

References

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  1. С. Derman, 10.1090/S0002-9939-1954-0060757-0, Proc. Amer. Math. Soc. 5 (1954), 332-334. (1954) Zbl0058.34504MR0060757DOI10.1090/S0002-9939-1954-0060757-0
  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. (1959) Zbl0117.35801MR0116389
  3. E. Nelson, 10.1215/S0012-7094-58-02561-4, Duke Math. J. 25 (1958), 671 -690. (1958) Zbl0084.13402MR0101555DOI10.1215/S0012-7094-58-02561-4
  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. (1962) MR0192560
  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. (1963) MR0198548

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