Open AccessComment on “Continuous g-Frame in Hilbert -Modules”
Author(s) -
Zhong-Qi Xiang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/243453
Subject(s) - mathematics , basis (linear algebra) , frame (networking) , operator (biology) , riesz representation theorem , hilbert space , pure mathematics , algebra over a field , modular design , discrete mathematics , computer science , geometry , programming language , telecommunications , biochemistry , chemistry , repressor , transcription factor , gene
The continuous g-frames in Hilbert -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, wefound 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
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