3 research outputs found
Weak compactness of almost limited operators
The paper is devoted to the relationship between almost limited operators and
weakly compacts operators. We show that if is a -Dedekind complete
Banach lattice then, every almost limited operator is
weakly compact if and only if is reflexive or the norm of is order
continuous. Also, we show that if is a -Dedekind complete Banach
lattice then the square of every positive almost limited operator is weakly compact if and only if the norm of is order
continuous.Comment: 5 page