SEMI-CONTINUOUS G-FRAMES IN HILBERT SPACES

被引：0
|
作者：
Poria, Anirudha [1 ,2 ]
机构：
[1] Bennett Univ, Sch Engn & Appl Sci, Dept Math, Greater Noida, Uttar Pradesh, India
[2] Indian Inst Sci, Dept Math, Bengaluru, Karnataka, India
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2020年 / 26卷 / 03期
关键词：
g-frames; continuous g-frames; semi-continuous g-frames; perturbation; frame identity; stability; STABILITY;
D O I：
10.31392/MFAT-npu26_3.2020.06
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of semi-continuous g-frames in Hilbert spaces. We first construct an example of semi-continuous g-frames using the Fourier transform of the Heisenberg group and study the structure of such frames. Then, as an application we provide some fundamental identities and inequalities for semi-continuous g-frames. Finally, we present a classical perturbation result and prove that semi-continuous g-frames are stable under small perturbations.
引用
收藏
页码：249 / 261
页数：13
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