On the Unconditionally $p-$Approximation Property via Lipschitz Operators

This paper studies an extension of the unconditionally $p-$−approximation property to the framework of Lipschitz operator theory. Motivated by the notion of the unconditionally $p-$−approximation property defined via unconditionally $p-$compact sets, we introduce the Lipschitz unconditionally $p-$−approximation property and establish several characterizations of this new property. Moreover, we obtain new characterizations of the unconditionally $p-$−approximation property in terms of Lipschitz operators.