In this paper, we consider systems of vectors in a Hilbert space ℋ H of the form gjk: j∈ J, k∈ K⊆ ℋ {g_ jk: j ∈ J,\, k ∈ K\} ⊆ H, where J and K are countable sets of indices. We find …
In this paper, we prove some properties of controlled g-frames. A necessary and sufficient condition for a controlled g-Bessel sequence to be a controlled g-frame is obtained. In …