New double inequalities for g-frames in Hilbert C∗-modules

In this work, we establish two types of double inequalities for g-frames in Hilbert C ∗ -modules, which involve scalars λ ∈ [ 0 , 1 ] and λ ∈ [ 1 2 , 1 ] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking λ = 1 2 .

Saved in:
Bibliographic Details
Published inSpringerPlus Vol. 5; no. 1
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 08.07.2016
Subjects
Humanities and Social Sciences
Mathematics (Theoretical)
multidisciplinary
Science
Science (multidisciplinary)
module
g-Frame
46L99
Hilbert
42C15
Inequality
Scalar
46H25
Online AccessGet full text

Cover

More Information
Summary:In this work, we establish two types of double inequalities for g-frames in Hilbert C ∗ -modules, which involve scalars λ ∈ [ 0 , 1 ] and λ ∈ [ 1 2 , 1 ] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking λ = 1 2 .
ISSN:2193-1801
DOI:10.1186/s40064-016-2731-2