Some classes of Banach spaces and complemented subspaces of operators

Abstract

‎The concept of $p$-$L$-limited sets and Banach spaces with the $p$-$L$-limited property ($p\in [1, \infty)$) are studied‎. ‎Some characterizations of limited $p$-convergent operators are obtained‎. ‎The complementability of some spaces of operators in the space of limited $p$-convergent operators is also investigated‎.