New Constructions of K-g-Frames

K -g-frames are a generalization of g-frames that have better advantages in practical applications than g-frames. In this paper, we focus on the constructions of K -g-frames for Hilbert spaces by certain operators with specific properties, while starting with a given K -g-frame or just a g-Bessel se...

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Bibliographic Details
Published inResultate der Mathematik Vol. 73; no. 4
Main Authors Huang, Yongdong, Shi, Shengnan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2018
Subjects
Mathematics
Mathematics and Statistics
bounded linear operator
g-frame
g-Bessel sequence
42C15
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Summary:K -g-frames are a generalization of g-frames that have better advantages in practical applications than g-frames. In this paper, we focus on the constructions of K -g-frames for Hilbert spaces by certain operators with specific properties, while starting with a given K -g-frame or just a g-Bessel sequence. In addition, two recent concepts about linear operators are used to construct K -g-frames, which differ from existing methods. Also, we generalize some of the known results in frame theory to K -g-frames and present some necessary conditions for K -g-frames.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-018-0924-4