Some Results About The Class Of Order Weakly Demicompact Operators On Banach Lattices

Abstract

In this research, we investigate more properties concerning of demi order weakly compact operators on Banach lattices. Precisely, we give some sufficient condition under which each order weakly demicompact operator has a modulus which is order weakly demicompact and converse after that we investigate results concerning the product two operators, sum two operators and domination property. Furthermore, we characterize Banach lattices for which each order weakly demicompact operator is b-weakly demicompact (resp. demi Dunford-Pettis). Finally, we examine the connection with class of M-weakly demicompact operators, after that we present a characterization of order weakly demicompact in term order disjoint sequence and we give condition sufficient conditions for each order weakly demicompact operator is M-weakly demicompact.