Author = Doostie, Hossein

Excess of continuous $K$-$g$-frames and some other properties

Volume 7, Issue 1, 2020, Pages 1-11

https://doi.org/10.22072/wala.2019.109025.1230

Elnaz Nobahar Alamdari, Mehrdad Azadi, Hossein Doostie

Abstract In this paper, we study the excess of continuous $K$-$g$-frames and give some results about this notion.
Also, we extend the concept of atomic system to continuous version and study its relations by continuous $K$-$g$-frames. Indeed, we give some equivalent  characterizations for continuous $K$-$g$-frames.  As well as, the relationship of a continuous $K$-$g$-frame and the range of operator $K$ will be verified. Finally, we study the induced $cK$-frames by continuous $K$-$g$-frames.