Semi-groups of positive contraction operators

Ralph S. Phillips

Czechoslovak Mathematical Journal (1962)

  • Volume: 12, Issue: 2, page 294-313
  • ISSN: 0011-4642

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Phillips, Ralph S.. "Semi-groups of positive contraction operators." Czechoslovak Mathematical Journal 12.2 (1962): 294-313. <http://eudml.org/doc/12127>.

@article{Phillips1962,
author = {Phillips, Ralph S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {294-313},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Semi-groups of positive contraction operators},
url = {http://eudml.org/doc/12127},
volume = {12},
year = {1962},
}

TY - JOUR
AU - Phillips, Ralph S.
TI - Semi-groups of positive contraction operators
JO - Czechoslovak Mathematical Journal
PY - 1962
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 2
SP - 294
EP - 313
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/12127
ER -

References

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  1. Garrett Birkhoff, Lattice theory, American Math. Soc. Coll. Publ. vol. 25, 1948. (1948) MR0029876
  2. W. Feller, 10.1090/S0002-9947-1940-0002697-3, Trans. Amer. Math. Soc., vol. 48, 1940, 488-515. (1940) Zbl0025.34704MR0002697DOI10.1090/S0002-9947-1940-0002697-3
  3. W. Feller, 10.2307/1970064, Annals of Math. (2) vol. 65, 1957, 527-570. (1957) Zbl0084.35503MR0090928DOI10.2307/1970064
  4. E. Hille, R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Coll. Publ., vol. 31, 1957. (1957) MR0089373
  5. W. B. Jurkat, On semi-groups of positive matrices, Parts I and II, Scripta Math., vol. 24, 1959, 123-131 and 207-218. (1959) Zbl0091.13002MR0121833
  6. S. Karlin, J. L. McGregor, 10.1090/S0002-9947-1957-0091566-1, Trans. Amer. Math. Soc., vol. 85, 1957, 489-546. (1957) Zbl0091.13801MR0091566DOI10.1090/S0002-9947-1957-0091566-1
  7. Tosio Kato, On semi-groups generated by Kolmogoroff's differential equations, Jr. Math. Soc. of Japan, vol. 6, 1954, 1 - 15. (1954) MR0062343
  8. David G. Kendall, Unitary dilations of one-parameter semi-groups of Markov transition operators, and the corresponding integral representations for Markov processes with a countable infinity of states, Proc. London Math. Soc., vol. 9, 1959, 417 - 431. (1959) MR0116390
  9. M. G. Krein, The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications, Recueil. Math., vol. 20, 1947, 431 - 495. (1947) Zbl0029.14103MR0024574
  10. W. Ledermann, G. E. H. Reuter, On differential equations for the transition probabilities of Markov processes with enumerably many states, Proc. Cambridge Phil. Soc., vol. 49, 1953, 247-262. (1953) MR0053343
  11. G. Lumer, R. S. Phillips, 10.2140/pjm.1961.11.679, Pacific Jr. of Math., vol. 11, 1961, 679-698. (1961) MR0132403DOI10.2140/pjm.1961.11.679
  12. R. S. Phillips, 10.1090/S0002-9947-1959-0104919-1, Trans. Amer. Math. Soc., vol. 90, 1959, 193-254. (1959) MR0104919DOI10.1090/S0002-9947-1959-0104919-1
  13. R. S. Phillips, The extension of dual subspaces invariant under an algebra, Proc. of the International Symposium on Linear Spaces, Israel 1960, 366-398. (1960) MR0133686
  14. G. E. H. Reuter, Denumerable Markov processes and the associated contraction semi-groups on l 1 , Acta Math., vol. 97, 1957, 1 - 46. (1957) MR0102123
  15. G. E. H. Reuter, Denumerable Markov processes. II, Jr. London Math. Soc., vol. 34, 1959, 81-91. (1959) Zbl0089.13803MR0102124

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