The concept of absolutely summing linear operators goes back to Grothendieck in the 1950s, but just in 1967 and 1968, the classical works of Pietsch [15] and Lindenstrauss and Pelczynski [7] clarified Grothendieck's precious ideas and contributed decisively to the vigorous development of the theory.
As a consequence of our multilinear results, we obtain a nice connection between the classes of multiple summing and strongly summing multilinear operators (in the sense of Dimant).
is almost summing, then T is absolutely (1, 2)-summing multilinear operator.