The Positive Operators On Banach Lattices

AM-compact operator and o-weakly compact operator and lattice ho-momorphism are three kinds of important operators on Banach lattice,The thesis discuss the problems about the factorization of AM-compact operators,the condition for every o-weakly compact operator is AM-compact,the factorization of lattice homomorphism are also included.In the first part,the backgrounds and preliminary about AM-compact and o-weakly compact operators and lattice homomorphism are given briefly,which of course are the base of this thesis.In the second part,the work is devoted to the factorization problems for AM-compact operators between Banach lattices.In the third part,the work is devoted to the condition for every o-weakly compact operator is AM-compact.In the fourth part,the work is devoted to the factorization problems for lattice homomorphism between Banach lattices.