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author:

Zhu, Yu Can (Zhu, Yu Can.) [1] (Scholars:朱玉灿) | Wang, Si Yuan (Wang, Si Yuan.) [2]

Indexed by:

Scopus SCIE CSCD

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.

Keyword:

Banach frame Frame pseudoinverse operator X-d-frame

Community:

  • [ 1 ] [Zhu, Yu Can]Fuzhou Univ, Dept Math, Fuzhou 350108, Peoples R China
  • [ 2 ] [Wang, Si Yuan]Shangrao Normal Sch, Dept Math, Shangrao 334000, Peoples R China

Reprint 's Address:

  • 朱玉灿

    [Zhu, Yu Can]Fuzhou Univ, Dept Math, Fuzhou 350108, Peoples R China

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Source :

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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