weak closure meaning in English

弱闭包

We prove that m has property ( p ) if and only if ( 11 ) let m be as in ( 10 ) then m and every weakly closed subspace including m have proverty ( p ) if and only if for any t b ( h } , there exist x , y h . such that ( 12 ) let a be a completely distributive subspace lattice algebra acting on a hilbert space , then the rank one subalgebra of a is dense in a if and only if , the weak closures of the first and the second preannihilators of a in the space of all trace class operators are reflexive
一弱闭算子空间，称州具有性质( p ) ，如果州中秩一算子生成的子空间在期中a一弱稠密.我们证得:川具有性质( p ) ，等价于州: = { t丁扭) : tx任[州上习， z任火} . ( ll )设川如( l0 )所述，则川以及包含川的每个a一弱闭子空间都具有性质( p ) ，当且仅当，对任意t任侧哟，都存在x ，，任火使得t一x y州