In this study, some existing results dealing with the weak approximation property of Banach spaces are considered for $p$-weak property. Also, an observation on bounded and $p$-bounded properties is given. Moreover, proof solution duality problem which exists in literature given a shorter way as alternative.

Abstract It is known that the class of p -vector spaces $(0 < \leq 1)$ (0<p≤1) an important generalization usual norm with rich topological and geometrical structure, but most tools general principles nat...