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Abstract：
The concept of g-frame and g-Riesz basis in a complex Hilbert space was introduced by Sun. 18 In this paper, we generalize the g-frame and g-Riesz basis in a complex Hilbert space to a complex Banach space. Using operators theory and methods of functional analysis, we give some characterizations of a g-frame or a g-Riesz basis in a complex Banach space. We also give a result about the stability of g-frame in a complex Banach space.
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INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
ISSN： 0219-6913
Year： 2010
Issue： 1
Volume： 8
Page： 133-148
1 . 3 0 6
JCR@2010
0 . 9 0 0
JCR@2023
ESI Discipline： COMPUTER SCIENCE;
JCR Journal Grade：2
CAS Journal Grade：4
Cited Count：
WoS CC Cited Count： 5
SCOPUS Cited Count：
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 1
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