Comment on ＂Continuous g-Frame in Hilbert C^∗-Modules

The continuous g-frames in Hilbert C*-modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that there is an error in the proof. The purpose o...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2013; pp. 110 - 111-212
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2013
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Physics
Studies
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Summary:The continuous g-frames in Hilbert C*-modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that there is an error in the proof. The purpose of this paper is to improve their result by introducing the so-called modular continuous g-Riesz basis.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/243453