| Title:
|
On the local ergodic theorems of Krengel, Kubokawa, and Terrell (English) |
| Author:
|
McGrath, S. A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
17 |
| Issue:
|
1 |
| Year:
|
1976 |
| Pages:
|
49-59 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A65 |
| MSC:
|
28D05 |
| MSC:
|
47A35 |
| MSC:
|
47D03 |
| MSC:
|
47D05 |
| idZBL:
|
Zbl 0327.28015 |
| idMR:
|
MR0417818 |
| . |
| Date available:
|
2008-06-05T20:50:06Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105673 |
| . |
| Reference:
|
[1] M. A. AKCOGLU: A pointwise ergodic theorem in $L_p$ spaces.Canad. J. Math. (to appear). Zbl 1044.47500, MR 0550405 |
| Reference:
|
[2] M. A. AKCOGLU R. V. CHACON: A local ratio theorem.Canad. J. Math. 22 (1970), 545-552, MR 0264031 |
| Reference:
|
[3] H. BUSEMANN W. FELLER: Zur Differentiation der Lebesgueschen Integrale.Fund. Math. 22 (1934), 226-256, |
| Reference:
|
[4] N. DUNFORD J. T. SCHWARTZ: Linear Operators.part I, Interscience, New York, 1958. |
| Reference:
|
[5] E. HILLE R. S. PHILLIPS: Functional Analysis and Semigroups.rev. ed., Amer. Math. Soc., Providence, RI, 1957. MR 0089373 |
| Reference:
|
[6] U. KRENGEL: A local ergodic theorem.Inventiones Math. 6 (1969), 329-333. Zbl 0165.37402, MR 0241602 |
| Reference:
|
[7] Y. KUBOKAWA: A general local ergodic theorem.Proc. Japan Acad. 48 (1972), 361-465. Zbl 0254.47013, MR 0328023 |
| Reference:
|
[8] Y. KUBOKAWA: A local ergodic theorem for semi-groups on $L_p$.Tohoku Math. J. 26 (1974), 411-422. MR 0352405 |
| Reference:
|
[9] Y. KUBOKAWA: Ergodic theorems for contraction semigroups.J. Math. Soc. Japan 27 (1975), 184-193. Zbl 0299.47007, MR 0397444 |
| Reference:
|
[10] S. A. MOGRATH: A pointwise Abelian ergodic theorem for $L_p$ semigroups, $l\leq p < \infty$.to appear. |
| Reference:
|
[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. Zbl 0321.28013, MR 0286977 |
| Reference:
|
[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., Zbl 0204.45406, MR 0268357 |
| Reference:
|
[13] K. YOSIDA: Functional Analysis.1st ed., Springer-Verlag, 1965. Zbl 0126.11504 |
| . |
