论文标题
乘法订单紧凑型操作员和$ l $ - 代数之间
Multiplicative order compact operators between vector lattices and $l$-algebras
论文作者
论文摘要
在本文中，我们介绍并调查了从矢量晶格到$ l $ orgebras的乘法订单紧凑型操作员。从矢量晶格$ x $到$ l $ -Algebra $ e $的线性运算符$ t $，据说如果每个订单有界的每个订单net $x_α$ in $ x $ in $ x $中的每个订单$x_α$都具有subnet $ x__ {α_β} $ y $ tx_ $ y y y y y y y y y y y y y y y y y y y y y y y y $我们还介绍和研究$ \ mathbb {omo} $ - $ m $ - 和$ \ mathbb {omo} $ - $ l $ - 从矢量晶格到$ l $ -Algebras。
In the present paper, we introduce and investigate the multiplicative order compact operators from vector lattices to $l$-algebras. A linear operator $T$ from a vector lattice $X$ to an $l$-algebra $E$ is said to be $\mathbb{omo}$-compact if every order bounded net $x_α$ in $X$ possesses a subnet $x_{α_β}$ such that $Tx_{α_β}\moc y$ for some $y\in E$. We also introduce and study $\mathbb{omo}$-$M$- and $\mathbb{omo}$-$L$-weakly compact operators from vector lattices to $l$-algebras.
