On approximation properties related to unconditionally <i>p</i>‐compact operators and Sinha–Karn <i>p</i>‐compact operators

Abstract We establish new results on the ‐approximation property for Banach operator ideal of unconditionally p ‐compact operators in case . As a consequence our results, we provide negative answer problem posed by Kim. Namely, implies neither nor (classical) approximation property; and property. Here, denotes Sinha Karn also show all that there is closed subspace fails