TY - JOUR ID - 37942 TI - Excess of continuous $K$-$g$-frames and some other properties JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Nobahar Alamdari, Elnaz AU - Azadi, Mehrdad AU - Doostie, Hossein AD - Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Islamic Republic of Iran. AD - Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran. AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran. Y1 - 2020 PY - 2020 VL - 7 IS - 1 SP - 1 EP - 11 KW - Hilbert space KW - $cK$-frame KW - $c$-$K$-$g$-frame KW - Atomic system DO - 10.22072/wala.2019.109025.1230 N2 - 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. UR - https://wala.vru.ac.ir/article_37942.html L1 - https://wala.vru.ac.ir/article_37942_e45223c394de6b451cf53d4ad8f00290.pdf ER -