CONSTRUCTION METHODS AND SUM OF c-K-g-FRAMES IN HILBERT SPACES
Abstract
This paper was aimed at studying some novel methods of constructing new c-K-g-frames in a Hilbert space H. Some necessary and sufficient conditions were offered for some bounded operators on H under which new c-K-g-frames were obtained from the existing ones. Also, the sum of c-K-g-frames were discussed, some of their characterizations were identified, and some bounded operators offered to construct new c-K-g-frames of the old ones.
Keywords
cg-frame, c-K-g-frame, Dual c-K-g-frame, sum of c-K-g-frames
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