∗-K-Operator Frame for Hom∗A(X)

Abstract

In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame for Hilbert pro-C ∗ -modules.