Eigenvalues and Eigenvectors for a Continuous G-Frame Operator

In this paper, we give a simple characterization of the eigenvalues and eigenvectors for the continous G-frame operator for {ΛωP∈B(H,Kω), ω∈Ω}, where HN is an N-dimensional Hilbert space and P is a rank k orthogonal projection on HN. Using this, we derive several results.