| Title:
|
Některé věty a příklady z teorie operátorů ve spočetných Markovových řetězcích (Czech) |
| Title:
|
Some theorems and examples in the theory of operators in denumerable Markov chains (English) |
| Title:
|
Einige Sätze und Beispiele zur Theorie der Operatoren in abzählbaren Markovschen Ketten (German) |
| Author:
|
Šidák, Zbyněk |
| Language:
|
Czech |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
88 |
| Issue:
|
4 |
| Year:
|
1963 |
| Pages:
|
457-478 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
60-65 |
| idZBL:
|
Zbl 0132.12803 |
| idMR:
|
MR0198548 |
| DOI:
|
10.21136/CPM.1963.117482 |
| . |
| Date available:
|
2009-09-23T07:31:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117482 |
| . |
| Reference:
|
[1] H. H. Axueзep И. M. Глазман: Теория ядерных операторов в гильбертовом пространстве.Mocква 1950. |
| Reference:
|
[2] C. 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 |
| Reference:
|
[3] N. Dunford J. T. Schwartz: Linear operators I.New York 1958. |
| Reference:
|
[4] W. Feller: An introduction to probability theory and its applications.New York 1950. Zbl 0039.13201 |
| Reference:
|
[5] W. Feller: Boundaries induced by non-negative matrices.Trans. Amer. Math. Soc. 83 (1956), 19-54. Zbl 0071.34901, MR 0090927 |
| Reference:
|
[6] E. Hille R. S. Phillips: Functional analysis and semi-groups.Providence 1957. MR 0089373 |
| Reference:
|
[7] S. Karlin: Positive operators.J. Math. Mech. 8 (1959), 907-938. Zbl 0087.11002, MR 0114138 |
| Reference:
|
[8] S. Karlin J. McGregor: Random walks.Illinois J. Math. 3 (1959), 66-81. MR 0100927 |
| Reference:
|
[9] Ф. И. Карпелевич: O характеристических корнях матриц с неотрицательными элементами.Изд. AH CCCP, cep. mаt., 15 (1951), 361-383. Zbl 0084.26103, MR 0043063 |
| Reference:
|
[10] 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:
|
[11] E. Nelson: The adjoint Markoff process.Duke Math. J. 25 (1958), 671 - 690. Zbl 0084.13402, MR 0101555 |
| Reference:
|
[12] Z. Šidák: Integral representations for transition probabilities of Markov chains with a general state space.Czech. Math. J. 12 (87) (1962), 492-522. MR 0148115 |
| Reference:
|
[13] Z. Šidák: Eigenvalues of operators in denumerable Markov chains.Trans. Third Prague Conf. on Inf. Theory, Stat. Dec. Functions, Random Proc. 1962, Prague 1963. MR 0153052 |
| . |
