Some notes on the sum of K-frames in Hilbert space

In this paper, in terms with the analysis operator and bounded linear operators, we give some novel conclusions on the sum of [Formula: see text]-frames in Hilbert space, which completely improve and generalize the existing results of the sum of [Formula: see text]-frames, and construct some numerical examples to illustrate the validity and rationality of our conclusions.

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Publication Details

Journal
International Journal of Wavelets Multiresolution and Information Processing
Published
2025-11-20
DOI
https://doi.org/10.1142/s0219691325500390
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

Some notes on the sum of K-frames in Hilbert space

Hanbing Liu, Zhu Fengjuan, Lingling Ye, Yongdong Huang
International Journal of Wavelets Multiresolution and Information Processing
Mathematical Analysis and Transform Methods
article

Some notes on the sum of K-frames in Hilbert space

Hanbing Liu, Zhu Fengjuan, Lingling Ye, Yongdong Huang
article en

Abstract

In this paper, in terms with the analysis operator and bounded linear operators, we give some novel conclusions on the sum of [Formula: see text]-frames in Hilbert space, which completely improve and generalize the existing results of the sum of [Formula: see text]-frames, and construct some numerical examples to illustrate the validity and rationality of our conclusions.

International Journal of Wavelets Multiresolution and Information ProcessingVol. 24(01)
North Minzu University (CN)
Openalex Percentile: Top 52%
Mathematical Analysis and Transform Methods
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