Continuous *-controlled frames in Hilbert C*-modules

In this paper, we introduce the notion of continuous ∗-frames and ∗-C-controlled frames in Hilbert C∗-modules. We present some results of continuous frames in the view of ∗-C-controlled frames in Hilbert C∗-modules. Also we define ∗-(C, C')-frames and investigate multiplier operators for these frames.

Keywords:

Hilbert C∗-module , ∗-controlled frame , continuous ∗-controlled frame , multiplier operator