Some Inequalities for g-Frames in Hilbert C-Modules

In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using operator theory methods, which are related to a scalar λ ∈ R and an adjointable operator with respect to two g-Bessel sequences. It is demonstrated that our results can lead to several known results on this topic...

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Bibliographic Details
Published inMathematics (Basel) Vol. 7; no. 1; p. 25
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2019
Subjects
adjointable operator
Algebra
Food science
g-Bessel sequence
g-frame
Hilbert C-module
Inequalities
Inequality
Modules
Scalars
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Summary:In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using operator theory methods, which are related to a scalar λ ∈ R and an adjointable operator with respect to two g-Bessel sequences. It is demonstrated that our results can lead to several known results on this topic when suitable scalars and g-Bessel sequences are chosen.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7010025