Containment of c0 and ℓ1 in π1(E, F)
Suppose π1(E, F) is the space of all absolutely 1-summing operators between two Banach spacesE andF. We show that ifF has a copy of c0, then π1 (E, F) will have a copy of c0, and under some conditions ifE has a copy of ℓ1 then π1 (E, F) would have a complemented copy of ℓ1.
Volume 130, 2020
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode