Some new results on the weaving of K-g-frames in Hilbert spaces

In this paper, we provide some conditions for a -woven pair of -g-frames to be preserved under an operator and particularly, we report that applying two different operators to a -woven pair of -g-frames can leave them -woven. Several new methods on the construction of -woven pair of -g-frames are al...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1315 - 1329
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 31.12.2021
De Gruyter Poland
Subjects
42C15
47B40
Frames
g-frame
Hilbert space
k-g-frame
k-woven
Perturbation
pseudo-inverse
Weaving
woven
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Summary:In this paper, we provide some conditions for a -woven pair of -g-frames to be preserved under an operator and particularly, we report that applying two different operators to a -woven pair of -g-frames can leave them -woven. Several new methods on the construction of -woven pair of -g-frames are also given. We end the paper with a new perturbation result on the weaving of -g-frames, which shows that, under the perturbation condition involved in one known result on this topic, two -g-frames can be -woven in the whole space, not merely in the subspace ).
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0103