| dc.description.abstract | Summing multipliers is an important class of operators in the geometric theory of
general Banach spaces. They are particularly useful in the study of the structure of
the classical spaces. The work done by Grothendieck and Pietsch provides a good
basis for the study of this class of operators. The topic of this study is (p, q)
summing multipliers. These are sequences of bounded linear operators mapping
weakly p-summable sequences into strongly q-summable sequences. This study is
concerned with using the concepts of absolute and p-summing multipliers to
characterize the space of all (p, q)-summing multipliers. In particular we show that
the space of all (p, q)-summing multipliers is complete. This is accomplished
through a detailed study of the concepts of the summing operators and absolute
and p-summing multipliers. | en_US |
