K-Frames from Finite Extensions

被引：3

作者：

Rahmani, Morteza ^{[1
]}

机构：

[1] Islamic Azad Univ, Ilkhchi Branch, Young Researchers & Elite Club, Ilkhchi, Iran

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 03期

关键词：

Bessel sequence; frame; K-frame;

D O I：

10.1007/s00025-022-01639-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study finite extensions of Bessel sequences to K-frames in a separable Hilbert space H. Precisely, we give some necessary and sufficient conditions for a Bessel sequence such that it can be expanded to a K-frame and a Parseval K-frame by adding finite number of elements in H. Also we show that under some conditions, a frame can be extended to a Parseval K-frame.

引用

页数：13

共 15 条

[11] Making and Sharing K-Dual Frame Pairs
Li, Ya-Nan
Li, Yun-Zhang
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (02) : 155 - 179
[12] Constructing more K-frames
Li, Yun-Zhang
Li, Ya-Nan
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 616 (616) : 45 - 65
[13] The K-dual Bessel generators for unitary groups of Hilbert spaces
Li, Yun-Zhang
Li, Ya-Nan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 482 (01)
[14] SOME CONSTRUCTIONS OF K-FRAMES AND THEIR DUALS
Neyshaburi, Fahimeh Arabyani
Arefijamaal, Ali Akbar
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (06) : 1749 - 1764
[15] Exact K-g-Frames in Hilbert Spaces
Xiao, Xiangchun
Zhu, Yucan
[J]. RESULTS IN MATHEMATICS, 2017, 72 (03) : 1329 - 1339

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