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СЕМИНАРЫ |
Функциональный анализ и его приложения
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Noncommutative weighted individual ergodic theorems with continuous time В. И. Чилинa, С. Н. Литвиновb a Национальный университет Узбекистана им. М. Улугбека, г. Ташкент b Pennsylvania State University, Department of Mathematics |
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Аннотация: We show that ergodic flows in noncommutative fully symmetric spaces (associated with a semifinite von Neumann algebra) generated by continuous semigroups of positive Dunford-Schwartz operators and modulated by bounded Besicovitch almost periodic functions converge almost uniformly. The corresponding local ergodic theorem is also discussed. |