Some results about g-frames in Hilbert spaces

Lan Luo, Jingsong Leng, Tingting Xie, J. Zhu
2022 MATEC Web of Conferences  
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relationship between some special bounded linear operators and g-frames, and characterizes the properties of g-frames. In addition, according to the operator spectrum theory, the eigenvalues are introduced into the g-frame theory, and a new expression of the best frame boundary of the g-frame is given.
doi:10.1051/matecconf/202235502001 fatcat:hw4jc3yyivg5phwdh2hkyfmxoy