A Note on the Center of the Class of Regular AM-compact Operators on?Banach Lattices

摘要

In this paper, our aim is to extend known results concerning the center of spaces of regular compact operators between Banach lattices to the setting of AMcompact operators and Dunford-Pettis operators.We show that the center of the collection of regular AM-compact operators between Banach lattices E, F is an algebra and order isomorphic to the tensor product of the centers of E and F.Also, we investigate the center of the collection of the regular Dunford-Pettis operators between Banach lattices.