期刊文献+

非交换Orlicz空间的个体遍历定理(英文)

Individual Ergodic Theorems for Noncommutative Orlicz Space
下载PDF
导出
摘要 设(M,τ)是半有限vonNeumann代数,Φ是N函数.证明了非交换Orlicz空间LΦ(M)的个体遍历定理. Let(M, τ) be a semifinite von Neumann algebra and Φ be an N-function. We proved individual ergodic theorem in the noncommutative Orlicz space L^Φ(M).
出处 《新疆大学学报(自然科学版)》 CAS 2014年第3期295-298,330,共5页 Journal of Xinjiang University(Natural Science Edition)
基金 Supported by Natural Science Foundation of the Xinjiang Uygur Autonomous Region(2013211A001)
关键词 非交换Orlicz空间 个体遍历定理 依测度一致等度连续 Noncommutative orlicz space Individual ergodic theorem Uniformly equicontinuous in measure
  • 相关文献

参考文献9

  • 1Junge M,Xu Q.Noncommutative maximal ergodic inequalities[J].Amer Math Soc,2007,20(2):385-439.
  • 2Yeadon F J.Ergodic theorems for semifinite Von Neumann algebras I[J].London Math Soc,1977,16(2):326-332.
  • 3Litvinov s.Uniform equicontinuity of sequences of measurable operators and non-commutative ergodic theorems[J].Proc Amer Math Soc,2012,4(140):2401-2409.
  • 4许全华,吐尔德别克,陈泽乾.算子代数与非交换Lp空间引论[M].北京:科学出版社,2009:156-162.
  • 5Rao M,Ren Z.Application of Orlicz Spaces[M].New York:Marcel Dekker Inc,2002.
  • 6Chilin V,Litvinov S,Skalski A.A few remarks in non-commutative ergodic theory[J].Operator Theory,2005,53(2):331-350.
  • 7Bekjan T N,Chen Z.Interpolation andΦ-moment inequalities of noncommutative martingales[J].Probab Theory Relat Fields,2012,152:179-206.
  • 8Fack T,Kosaki H.Generalized s-numbers ofτ-measurable operators[J].Pacific J Math,1986,123:269-300.
  • 9Fack T.Sur la notion de valeur characteristique[J].Operator Theory,1982,7:307-333.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部