@inproceedings{ed9cf050660743c0837ad15dcca1a0d6,

title = "Order convergence ergodic theorems in rearrangement invariant spaces",

abstract = "We find necessary and sufficient conditions for order convergence of Ces{\'a}ro averages of positive absolute contractions in rearrangement invariant spaces. We study the case, when the considered measure is infinite. The investigation of order convergence includes both Dominated and Individual Ergodic Theorems.",

keywords = "Ergodic theorems, Order convergence, Positive absolute contraction, Rearrangement invariant spaces",

author = "Mustafa Muratov and Julia Pashkova and Rubshtein, {Ben Zion}",

note = "Publisher Copyright: {\textcopyright} 2013 Springer Basel.; 5th International Conference: Operator Theory, Analysis and Mathematical Physics, OTAMP 2010 ; Conference date: 05-08-2010 Through 12-08-2010",

year = "2013",

month = jan,

day = "1",

doi = "10.1007/978-3-0348-0531-5_7",

language = "English",

isbn = "9783034805308",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "123--142",

editor = "Jan Janas and Pavel Kurasov and Ari Laptev and Sergei Naboko",

booktitle = "Operator Methods in Mathematical Physics - Conference on Operator Theory, Analysis and Mathematical Physics, OTAMP 2010",

}