On the local ergodic theorems of Krengel, Kubokawa, and Terrell

S. A. McGrath

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 1, page 49-59
  • ISSN: 0010-2628

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McGrath, S. A.. "On the local ergodic theorems of Krengel, Kubokawa, and Terrell." Commentationes Mathematicae Universitatis Carolinae 017.1 (1976): 49-59. <http://eudml.org/doc/16732>.

@article{McGrath1976,
author = {McGrath, S. A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {49-59},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the local ergodic theorems of Krengel, Kubokawa, and Terrell},
url = {http://eudml.org/doc/16732},
volume = {017},
year = {1976},
}

TY - JOUR
AU - McGrath, S. A.
TI - On the local ergodic theorems of Krengel, Kubokawa, and Terrell
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 1
SP - 49
EP - 59
LA - eng
UR - http://eudml.org/doc/16732
ER -

References

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  1. M. A. AKCOGLU, A pointwise ergodic theorem in L p spaces, Canad. J. Math. (to appear). Zbl1044.47500MR0550405
  2. M. A. AKCOGLU R. V. CHACON, A local ratio theorem, Canad. J. Math. 22 (1970), 545-552, (1970) MR0264031
  3. H. BUSEMANN W. FELLER, Zur Differentiation der Lebesgueschen Integrale, Fund. Math. 22 (1934), 226-256, (1934) 
  4. N. DUNFORD J. T. SCHWARTZ, Linear Operators, part I, Interscience, New York, 1958. (1958) 
  5. E. HILLE R. S. PHILLIPS, Functional Analysis and Semigroups, rev. ed., Amer. Math. Soc., Providence, RI, 1957. (1957) MR0089373
  6. U. KRENGEL, A local ergodic theorem, Inventiones Math. 6 (1969), 329-333. (1969) Zbl0165.37402MR0241602
  7. Y. KUBOKAWA, A general local ergodic theorem, Proc. Japan Acad. 48 (1972), 361-465. (1972) Zbl0254.47013MR0328023
  8. Y. KUBOKAWA, A local ergodic theorem for semi-groups on L p , Tohoku Math. J. 26 (1974), 411-422. (1974) MR0352405
  9. Y. KUBOKAWA, Ergodic theorems for contraction semigroups, J. Math. Soc. Japan 27 (1975), 184-193. (1975) Zbl0299.47007MR0397444
  10. S. A. MOGRATH, A pointwise Abelian ergodic theorem for L p semigroups, l ≤ p < ∞ , to appear. 
  11. D. S. ORNSTEIN, The sums of iterates of a positive operator, Advances in Probability and Related Topics, vol. 2 (edited by F. Ney), 87-115, Dekker, New York, 1970. (1970) Zbl0321.28013MR0286977
  12. T. R. TERRELL, Local ergodic theorems for n -parameter semigroups of operators, Contributions to Ergodic Theory and Probability, 262-278, Springer-Verlag, Berlin/Heidelberg/New York, 1970., (1970) Zbl0204.45406MR0268357
  13. K. YOSIDA, Functional Analysis, 1st ed., Springer-Verlag, 1965. (1965) Zbl0126.11504

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