A general local ergodic theorem in $L_1$.

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A general local ergodic theorem in $L_1$.

M. A. Akcoglu and M. Falkowitz

Source: Pacific J. Math. Volume 119, Number 2 (1985), 257-264.

First Page: Show

Primary Subjects: 47A35

Secondary Subjects: 28D05

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102706154
Zentralblatt MATH identifier: 0579.47004
Mathematical Reviews number (MathSciNet): MR803118

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References

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Mathematical Reviews (MathSciNet): MR41:8630

Zentralblatt MATH: 0201.06603

[2] M. A. Akcoglu and A. del Junco, Differentiationof n-dimensionaladditive processes, Canad. J. Math., 33 (1981), 749-768.

Mathematical Reviews (MathSciNet): MR82k:47015

Zentralblatt MATH: 0477.47012

[3] M. A. Akcoglu and U. Krengel, A differentiation theorem for additive processes, Math. Z., 163 (1978), 199-210.

Mathematical Reviews (MathSciNet): MR80d:47007

Zentralblatt MATH: 0379.60073

[4] N. Dunford and J. T. Schwartz, Linear Operators,Part I, Interscience Publishers Inc., New York, 1958.

Mathematical Reviews (MathSciNet): MR22:8302

Zentralblatt MATH: 0084.10402

[5] C. Kipins, Majoration des semi-groupes de contractions de L et applications, Ann. Inst. Poincaresect. B, 10 (1974), 369-384.

Mathematical Reviews (MathSciNet): MR51:8373

[6] U. Krengel,A localergodic theorem, Invent. Math., 6 (1969), 329-333.

Mathematical Reviews (MathSciNet): MR39:2941

Zentralblatt MATH: 0165.37402

[7] Y. Kubokawa, Ergodic theoremsfor contractionsemi-groups, J. Math. Soc.Japan, 27 (1975), 184-193.

Mathematical Reviews (MathSciNet): MR53:1303

Zentralblatt MATH: 0299.47007

[8] D. S. Ornstein, The sums of iterates of a positive operator, Advances in Prob. and related topics,2 (1970), 87-115.

Zentralblatt MATH: 0321.28013

[9] R. Sato, A note on a local ergodictheorem, Comment. Math. Univ. Carolinae, 16 (1975), 1-11.

Mathematical Reviews (MathSciNet): MR51:1435

Zentralblatt MATH: 0296.28019

[10] R. Sato, Contraction semi-groups in Lebesgue space, Pacific J. Math., 78 (1978), 251-259.

Mathematical Reviews (MathSciNet): MR80b:47054

Zentralblatt MATH: 0363.47021

[II] N. Wiener, The ergodictheorem, Duke Math. J., 5 (1939), 1-18.

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