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   locally solid vector lattices with the am-property  
   
نویسنده zabeti omid
منبع پنجاه و يكمين كنفرانس رياضي ايران - 1399 - دوره : 51 - پنجاه و یکمین کنفرانس ریاضی ایران - کد همایش: 99201-37641 - صفحه:0 -0
چکیده    Let x be a locally solid vector lattice. we say that x possessesthe am-property provided that for every bounded set b  x, the set ofall nite suprema of elements of b, denoted by b_, is also bounded. thisnotion extends some properties regarding am-spaces in banach lattices tothe category of all locally solid vector lattices. with the aid of this concept,we investigate some topological and ordered structures for the spaces of allbounded order bounded operators between locally solid vector lattices.
کلیدواژه locally solid vector lattice ,bounded operator ,am-property ,levi property ,lebesgue property
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