Some Results on Vector-Valued $s$-Type $|A, p, \prod X_{k}|$ Operators

Amit Maji, Parmeshwary Dayal Srivastava

Abstract

This paper deals with the class $\mathscr{A}_{vec}^{(s)}-p$ of vector-valued s-type $|A, p, \prod X_{k}|$ operators, $0< p \leq \infty$. It is shown that the class $\mathscr{A}^{(s)}_{vec}-p$ forms a complete linear space.
Some inclusion relations are also obtained.