کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590334 | 1334949 | 2013 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiparameter ratio ergodic theorems for semigroups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
After one-parameter treatment of ratio ergodic theorems for semigroups, we formulate the Sucheston a.e. convergence principle of continuous parameter type. This principle plays an effective role in proving some multiparameter generalizations of Chaconʼs type continuous ratio ergodic theorems for semigroups and of Jacobsʼ type continuous random ratio ergodic theorems for quasi-semigroups. In addition, a continuous analogue of the Brunel-Dunford-Schwartz ergodic theorem is given of sectorially restricted averages for a commutative family of semigroups. We also formulate a local a.e. convergence principle of Suchestonʼs type. The local convergence principle is effective in proving multiparameter local ergodic theorems. In fact, a multiparameter generalization of Akcoglu-Chaconʼs local ratio ergodic theorem for semigroups of positive linear contractions on L1 is proved. Moreover, some multiparameter martingale theorems are obtained as applications of convergence principles.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 12, 15 December 2013, Pages 3104-3132
Journal: Journal of Functional Analysis - Volume 265, Issue 12, 15 December 2013, Pages 3104-3132
نویسندگان
Takeshi Yoshimoto,