Unbounded Absolute Weak Almost Limited Operators On Banach Lattices And Their Related Properties

Based on the definition of unbounded absolute weak Dunford-Pettis operator,we introduce the classes of unbounded absolute weak almost limited operators and uaw-w*Dunford-Pettis operators on Banach lattices.This paper mainly discusses the sequential characterizations and basic properties of the two classes of operators and their relations with related operators.Firstly,the definition of the unbounded absolute weak almost limited operator is introduced,and according to the equivalent characterization of the operator,we give the condition that the operator satisfying the domination.And the relationships between unbounded absolute weak almost limited operators and weak almost limited operators,almost limited operators,limited operators and almost Dunford-Pettis operators are discussed.Secondly,the concept of uaw-w*Dunford-Pettis operator is given,and according to its equivalent characterization,we give the condition for satisfying the domination property of uaw-w*Dunford-Pettis operator.Then the approximation of the operator is discussed by constructing disjoint sequences.And the relationships between uaw-w*Dunford-Pettis operators and weak* Dunford-Pettis operators,limited operators are also investigated.