Controlled continuous \(K - g\)-fusion frame in Hilbert \(C^\ast\)-modules (Q6606341)

In Section 2, the authors introduce the concepts of controlled continuous \(g\)-fusion frames, controlled continuous \(K-g\)-fusion frames, and the \((C,C^\prime)\)-controlled continuous \(g\)-fusion frame operator in Hilbert \(C^\ast\)-modules. They investigate some of their properties. Theorems 2.1 to 2.8 deal with these properties. Theorem 3.5 gives an equivalent definition of a \((C, C^\prime)\)-controlled \(K-g\)-fusion frame. The perturbation problem for a controlled continuous \(K-g\)-fusion frame is also discussed via theorem 4.1. The proofs are rigorous, extensive, and original. A little insight into using these concepts in signal processing could have made the paper more interesting.