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BOUNDED SOLUTIONS AND PERIODIC SOLUTIONS OF VISCOUS POLYTROPIC GAS EQUATIONS
引用本文:Wu Liangsen. BOUNDED SOLUTIONS AND PERIODIC SOLUTIONS OF VISCOUS POLYTROPIC GAS EQUATIONS[J]. 数学年刊B辑(英文版), 1997, 18(1): 113-118
作者姓名:Wu Liangsen
作者单位:WU LIANGSEN * Department of Mathematics,East China Normal University,Shanghai 200062,China.
摘    要:BOUNDEDSOLUTIONSANDPERIODICSOLUTIONSOFVISCOUSPOLYTROPICGASEQUATIONSLUOTAOAbstractApistonproblemofviscouspolytropicgasequatio...

关 键 词:度量原子映射  分裂包含  Von  Neumann代数  包含理论
收稿时间:1994-06-06

SPLIT INCLUSION AND METRICALLY NUCLEAR MAP
Wu Liangsen. SPLIT INCLUSION AND METRICALLY NUCLEAR MAP[J]. Chinese Annals of Mathematics,Series B, 1997, 18(1): 113-118
Authors:Wu Liangsen
Affiliation:DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,China
Abstract:The author relates the split inclusion property to the metrically nucleartyof the natural embedding $phi_1$ and proves the following result.Let $Asubset B$ be an inclusion of factors, $omega$a faithful normal state of $B$ such that $omega=(cdot Omega,Omega)$. If$phi_1: Ato L^1(B)$ defined by $phi_1(x)=(cdot Omega,J_BxOmega), forall xinA,$ is the natural embedding, then $(A,B)$ is a split inclusion if and onlyif $phi_1$ is a metrically nuclear map.
Keywords:Von Neumann algebra   Split inclusion   Metrically nuclear map
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