

浏览全部资源
扫码关注微信
新疆大学数学与系统科学学院
Published:2013
移动端阅览
[1]韩亚洲.非交换Orlicz-Lorentz空间的对偶空间(英文)[J].新疆大学学报(自然科学版),2013,30(02):148-153.
韩亚洲. 非交换Orlicz-Lorentz空间的对偶空间(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(2): 148-153.
在这篇文章中我们证明了当是满足2条件的N-函数且ω是正则的权函数时
非交换Orlicz-Lorentz空间Λ
ω(M)的对偶空间是M
ω(M)
这里M是不含最小投影算子的半有限von Neumann代数.
It is shown that the dual space of noncommutative Orlicz-Lorentz space Λ
ω(M) is M
ω(M)
where M is a semifinite von Neumann algebra and has no minimal projection
is an N-function satisfying the 2-condition and ω is a regular weight function.These results are noncommutative analogues of well known characterisations in the setting of classical Orlicz-Lorentz space.
Hudzik H,Kaminska A,Mastylo M.On the dual of Orlicz-Lorentz space[J].Proc Amer Math Soc,2002,130:1645-1654.
Kaminska A.Some remarks on Orlicz-Lorentz spaces[J].Math Nachr,1990,147:29-38.
Pisier G,Xu Q.Noncommutative L p Spaces[M]//Pisier G,Xu Q.Handbook of the geometry of Banach spaces.Amsterdam:North-Hollcmd,2003,1459-1517.
Terp M.L p Spaces Associated with von Neumann Algebras[R].Copenhagen Univ:Notes,1981.
Fack T,Kosaki H.Generalized s-numbers ofτ-measurable Operators[J].Prac J Math,1986,123:269-300.
Dodds P,Dodds T,Ben de Pagter.Noncommutative Ko¨the Duality[J].Trans Amer Math Soc,1993,339:717-750.
Dodds P,Dodds T.Some aspects of the theory of symmetric operator spaces[J].Quaest Math,1992,15:942-972.
Bennett C,Sharpley R.Interpolation of Operators[M].New York:Academic Press,1988,129.
Hiai F,Nakamura Y.Majorizations for generalized s-numbers in semifinite von Neumann algebras[J].Math Z,1987,195:17-27.
Dodds P,Dodds T,Ben de Pagter.A General Markus Inequality[J].Proc Centre Math Anal Austral Nat Univ,1989,24:47-57.
Dodds P,Ben de Pagter.Properties(u)and(V*)of Pelczynski in symmetric spaces ofτ-measurable operator[J].Positivity,2011,15:571-594.
Lin P,Sun H.Some geometric properties of Lorentz-Orlicz space[J].Arch Math,1995,64:500-511.
Chilin V,Krygin A,Sukochev P.Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators[J].Math Proc Cambr Phi Soc,1992,111:355-368.
俞鑫泰.Banach空间几何理论[M].上海:华东师范大学出版社,1986.
Dodds P,Dodds T.Fully symmetric operator spaces[J].Inter Equat Oper Th,1992,15:942-972.
0
Views
45
下载量
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621