Non-commutative Kolmogorov Inequality and Zygmund Inequality 被引量：1

Non-commutative Kolmogorov Inequality and Zygmund Inequality

下载PDF

导出

摘要 In this paper,we discuss some properties of distribution functions of τ-measurable operators and obtain non-commutative analogue of Kolmogorov inequality and Zygmund inequality. In this paper,we discuss some properties of distribution functions of τ-measurable operators and obtain non-commutative analogue of Kolmogorov inequality and Zygmund inequality.

作者 WU Tian-feng ZHOU Jia WANG Yun-xia

机构地区 College of Mathematics and System Sciences

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期104-109,共6页 数学季刊（英文版）

基金 Supported by the Xinjiang Province Scientific Planning Project in Department of Education(XJEDU2006I07)

关键词 τ-measurable operator distribution function von Neumann algebra τ-measurable operator； distribution function； von Neumann algebra

分类号 O177.1 [理学—基础数学]

引文网络
相关文献

参考文献10

1NELSON E.Notes on non-commutative integration[J].J Funct Anal,1974,15(2):103-116.
2FACK T,KOSAKI H.Generalized s-numbers of τ-measurable operators[J].Pac J Math,1986,123(2):269-300.
3DODDS P G,DODDS T K,PAGER B de.Non-commutative Banach functions spaces[J].Math Z,1989,201(4):583-597.
4DODDS P G,DODDS T K,PAGER B de.Fully symmetric operator spaces[J].Integral Equation Operator Theory,1992,15(6):942-972.
5PISIER G,XU Quan-hua.Noncommutative Lp-spaces[M].Holland:North-Holland,2003:1459-1517.
6STIEN E,WEISS G.Introduction to Fourier Analysis on Euclidean Spaces[M].Princeton:Princeton Univ Press,1971.
7TAKESAKI M.Theory of Operator Algebra I[M].New York:Springer,1979.
8BROW L G,KOSAKI H.Jensen’s inequality in Semi-finite von niemann algebras[J].J Operator Theory,1990,23(1):3-19.
9KOSAKI H.On the continuity of the map→||from the predual of a W-algebra[J].J Funct Anal,1984,59(1):123-131.
10DYKEMA K J,KALTON N J.Sums of commutators in ideals and modules of type factors[J].Ann Inst Fourier,2005,55(3):931-971.

同被引文献1

1韩亚洲,Turdebek N. Bekjan.THE DUAL OF NONCOMMUTATIVE LORENTZ SPACES[J].Acta Mathematica Scientia,2011,31(5):2067-2080. 被引量：3

引证文献1

1韩亚洲.Composition and Multiplication Operators on L^(p,∞)(M)[J].Chinese Quarterly Journal of Mathematics,2016,31(4):340-348.

1LiQiongXU WeiMinXUE.Minimal Non—Commutative n—Insertive Rings[J].Acta Mathematica Sinica,English Series,2003,19(1):141-146. 被引量：1
2LI Yun-hui,TANG Gao-hua.Ideal-based Zero-divisor Graphs of Non-commutative Rings[J].Chinese Quarterly Journal of Mathematics,2011,26(1):125-130.
3Zhang Pengming P.A. Horvathy.1 - 20 Kohn Condition and Exotic Newton Hooke Symmetry in Non-Commutative Landau Problem[J].IMP & HIRFL Annual Report,2012(1):26-26.
4余晓敏,李康.Non-commutative Fock-Darwin system and its magnetism properties[J].Chinese Physics B,2009,18(9):3670-3676.
5YANG Zhan-Ying YUE Rui-Hong HOU Bo-Yu SHI Kang-Jie.Non-commutative Chiral QCD2 Model[J].Communications in Theoretical Physics,2002(8):217-220.
6B.FISHER,K.TA■.On the Non-Commutative Neutrix Product of the Distributions x＋^λ and x^＋μ[J].Acta Mathematica Sinica,English Series,2006,22(6):1639-1644.
7Zhang, LC,Ma, JP.Free C *- algebras and the problem of uniqueness of extension in non-commutative Hahn-Banach Theorem[J].Chinese Science Bulletin,1997,42(13):1076-1079.
8佟洁,靳全勤.NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sl_n(_q) WITH NULLITY M[J].Acta Mathematica Scientia,2013,33(5):1485-1498. 被引量：3
9Zhang Pengming P.A. Horvathy.1 - 22 Chiral Decomposition in Non-commutative Landau Problem[J].IMP & HIRFL Annual Report,2012(1):28-28.
10H.Sobhani,H.Hassanabadi.Two-Dimensional Linear Dependencies on the Coordinate Time-Dependent Interaction in Relativistic Non-Commutative Phase Space[J].Communications in Theoretical Physics,2015(9):263-268.

Chinese Quarterly Journal of Mathematics

2012年第1期

浏览历史

内容加载中请稍等...

Non-commutative Kolmogorov Inequality and Zygmund Inequality 被引量：1

参考文献10

同被引文献1

引证文献1

相关作者

相关机构

相关主题

浏览历史