Additive and superadditive local theorems

 Access to full text

 Full (PDF)

1. [0] M.A. Akcoglu and A. Brunel, Contractions on L1-spaces. Trans. Amer. Math. Soc., t. 155, 1971, p. 315-325. Zbl0223.47005MR276439
2. [1] M.A. Akcoglu and R.V. Chacon, A local ratio theorem. Canad. J. Math., t. 22, 1970, p. 545-552. Zbl0201.06603MR264031
3. [2] M.A. Akcoglu and A. Del-Junco, Differentiation of n-dimensional additive processes. Canad. J. Math., t. 33, n° 3, 1981, p. 749-768. Zbl0477.47012MR627654
4. [3] M.A. Akcoglu and U. Krengel, Differentiation of additive processes. Math. Z., t. 163, 1978, p. 199-210. Zbl0379.60073MR512474
5. [4] M.A. Akcoglu and L. Sucheston, A superadditive ratio theorem. Z. Wahrs. verw. Gebiete, t. 44, 1978, p. 268-278. Zbl0386.60045MR509202
6. [5] A. Brunel, Théorème ergodique ponctuel pour un semi-groupe commutatif finement engendré de contractions de L1. Ann. Inst. Henri Poincaré. Vol. IX, n° 4, 1973, p. 327-343. Zbl0272.47007MR344415
7. [6] R.V. Chacon and U. Krengel, Linear modulus of a linear operator. Proc. Amer. Math. Soc., t. 15, 1964, p. 553-559. Zbl0168.11701MR164244
8. [7] N. Dunford and J.T. Schwartz, Linear Operators, Vol. I. Interscience, 1958. Zbl0084.10402MR117523
9. [8] R. Émilion, Convergence locale des processus sur-additifs dans Lp. C. R. Acad. Sc. Paris, t. 295, 15 novembre 1982, Série I, p. 547-549. Zbl0507.60023MR685021
10. [9] R. Émilion, Continuity at 0 of semigroups of L 1 and differentiation of additive processes (to appear). Ann. Inst. Henri Poincaré. Zbl0585.60046
11. [10] R. Émilion and B. Hachem, Un théorème ergodique local sur-additif. C. R. Acad. Sc. Paris, t. 294, 8 mars 1982, série I, p. 337-340. Zbl0484.60026MR658404
12. [11] D. Feyel, Sur une classe remarquable de processus abéliens. Math. Z. (to appear). 
13. [12] D. Feyel, Convergence locale des processus sur-abéliens et sur-additives. C. R. Acad. Sc. Paris, t. 295, 1982, Série I, p. 301-303. Zbl0508.60016MR681602
14. [13] S.A. Mcgrath, Some ergodic theorems for commuting operators. Stud. Math., t. 70, 1980, p. 153-160. Zbl0509.47008MR642190
15. [14] C. Kipnis, Majoration de semi-groupes de contractions de L1 et applications. Ann. Inst. Henri Poincaré, Vol. X, n° 4, 1974, p. 369-384. Zbl0324.47004MR372157
16. [15] U. Krengel, A local ergodic theorem. Invent. Math., t. 6, 1969, p. 329-333. Zbl0165.37402MR241602
17. [16] U. Krengel, Recent progress in ergodic theorem. Soc. Math. de France. Astérique, t. 50, 1977, p. 151-192. Zbl0376.28016MR486418
18. [17] Y. Kubokawa, Ergodic theorems for contraction semigroups. J. Math. Soc. Japan, t. 27, 1975, p. 184-193. Zbl0299.47007MR397444
19. [18] M. Lin, On local ergodic convergence of semigroups and additive processes. Israel J. Math., t. 42, 1982, p. 300-308. Zbl0545.47016MR682314
20. [19] R. Sato, On a local ergodic theorem. Stud. Math., t. LVIII, 1976, p. 1-5. Zbl0344.47005MR422581
21. [20] R. Sato, On local ergodic theorems for positive semigroups. Studs. Math., t. LXIII, 1978, p. 45-55. Zbl0391.47022MR508881
22. [21] R.T. Terrell, Local ergodic theorems for n-parameters semigroups of operators. Lecture Notes in Math., n° 160, 1970, p. 262-278, Springer-Verlag. Zbl0204.45406MR268357

1. Ryotaro Sato, A general differentiation theorem for superadditive processes