A CHARACTERIZATION OF ¤-G-BESSEL SEQUENCES

Certain facts about frames and g-Bessel sequences are extended for the new g-Bessel sequences in Hilbert C¤-modules where they are called ¤-g-Bessel sequences. It is shown that ¤-g-Bessel sequences for Hilbert C¤-modules share several useful properties with g-Bessel sequences for Hilbert C¤-modules. The ¤-g-Bessel sequences are compared with g- Bessel sequences by one example. The paper also characterizes ¤-g-Bessel sequences.