We study the quasi-weakly compact operators between normed spaces, which are described in terms of their first and second conjugates. Using a result on factorisation of an arbitrary linear operator ...

Banach spaces, as complete normed vector spaces, have long served as a fundamental framework for analysing linear operators. Operator theory within these spaces investigates the properties and ...

Consider a Banach lattice $E$ and an order bounded weakly compact operator $T: E \rightarrow E$. The purpose of this note is to study the weak compactness of ...