A brief on some equalities for continuous g-frames in Hilbert spaces

In this work‎, ‎we generalize the equalities from ‎ g‎-frame and g‎-Bessel sequences to continuous g‎-frame and continuous g‎-Bessel sequences in Hilbert spaces‎. ‎This generalization enables us to obtain the relationship between continuous g-frames and their alternate dual on a measure space‎.

کلیدواژه ها:

Hilbert spaces‎ ، ‎continuous g-Bessel sequences‎ ، ‎continuous g-frames‎ ، ‎Pseudo-inverse operator