On the Quotients of Regular Operators

Abstract

We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators. We also present a representation of the quotient space created by the linear span of the positive L-weakly compact operators.

Keywords

• regular operators
• l-weakly compact operator
• m-weakly compact operator
• banach lattice
• quotient space
• regular operators