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Abstract:
In this paper, we give some equivalent conditions on a Banach frame for a Banach space by using the pseudoinverse operator. We also consider the stability of a Banach frame for a Banach space X with respect to X (d) or an X (d) -frame for a Banach space X under perturbation. These results generalize and improve the related works of Balan, Casazza, Christensen, Stoeva and Jian et al.
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ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN: 1439-8516
CN: 11-2039/O1
Year: 2010
Issue: 12
Volume: 26
Page: 2369-2376
0 . 5 4
JCR@2010
0 . 8 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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