论文标题
L-和M Weakly Compact操作员的概括
Generalizations of L- and M-weakly compact operators
论文作者
论文摘要
迈耶·尼伯格（Meyer-Nieberg）在七十年代初期引入了L-和M Weakly Compact运营商，试图通过在操作员的范围内或范围内将Banach晶格结构强加于弱紧凑的操作员的概念。我们从统一的角度研究了L-和M Weakly紧凑型操作员的各种概括的规律性和代数特性，这是通过使用定期的P-operator的。
L- and M-weakly compact operators were introduced by Meyer-Nieberg in the beginning of seventies in attempts of a diversification of the concept of weakly compact operators via imposing Banach lattice structure on the range or on the domain of operators. We investigate regularity and algebraic properties of various generalizations of L- and M-weakly compact operators from a unified point of view via using regularly P-operators.
