非交换L~P(Μ;τ)空间中有关连加和及直和的一些不等式Some Inequalities for Sums and Direct Sums of Noncommutative L~p(М;τ) Spaces Operators
韩亚洲,吐尔德别克
摘要(Abstract)：
证明了一些有关广义奇异值的不等式和非交换L~p(M;τ)空间中的一些不等式.
关键词(KeyWords)： 广义奇异值;非交换L~p(M;τ)空间;不等式
基金项目(Foundation): 国家自然科学基金项目(10761009)
作者(Author): 韩亚洲,吐尔德别克
参考文献(References)：
- [1]Hirzallaha O,Kittaneh F.Inequalities for sums and direct sums of Hilbert space operators[J].Linear Algebra and its Applications,2007,424:71-82.
- [2]Nelson E.Notes on Non-Commutative Integration[J].J Funct Anal,1974,15:103-116.
- [3]Fack T.Sur la notion de valeur carateristique[J].J Operator Theory,1982,7:307-333.
- [4]Fack T,Kosaki H.Generalized s-numbers ofτ-measurable Operators[J].Pac J Math,1986,123:269-300.
- [5]TaKesaki M.Theory of Operator Algebras I[M].Berlin-Heidelberg-New York:Springer,1979.
- [6]Terp M.L~p Spaces Associated with von Neumann Algebras.Notes,Copenhagen Univ,1981.
- [7]Dykema K J,Kalton N J.Sums of commutators in ideals and modules of typeⅡfactors[J].Ann Inst Fourier,2005,55: 931-971.
- [8]Brown L,Kosaki H.Jensen's inequality in semi-finite yon Neumann algebras[J].J Operator Theory,1990,23:3-19.
- [9]Zhan Xingzhi.On singular numbers ofτ-measurable operators[J].Journal of Shanghai University(English Edition),2004, 8:444-447.
- [10]Conway J B.A Course in Operator Theory[M].Rhode Island:American Mathematical Society,2000.
- [11]Du Hongke.operator matrix forms of positive operators[J].Chinese Quarterly Journal of Mathematics,1992,7:9-12.
- [12]Ciach L J.Some remarks on the convergence in measure and on a dominated sequence of operators measurable with respect to a semifinite von Neumann algebra[J].Colloq Math,1988,55:109-121.
- [13]Kosaki H.on the continuity of the map(?)→(?) from the predualof a W~*-algebra[J].J Funct Anal,1984,59:123-131.
- [14]Dodds P G,Sukochev F A.Submajorisation inequalities for convex and concave functions of sums of measurable operators [J].Positivity,2009,13:107-124.