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Author:

Tian, Y. (Tian, Y..) | Li, Y. (Li, Y..)

Indexed by:

Scopus PKU CSCD

Abstract:

Constructing approximate dual frames is much easier than constructing classical dual frames, and approximate dual frames derive an almost same perfect reconstruction formula as classical dual frames. In this paper, under the background of subspace frames (fusion frames), an explicit characterization of approximate dual g-frames was obtained. As an application, we prove that for a given pair of approximate dual g-frames ({Λn}n, {Γn}n), there existed another pair of approximate dual g-frames ({Ψn}n, {Υn}n) such that TΛUΓ=TΨUΥ, where TY and UY denote the pre-frame and analysis operators of the g-frame {Yn}n. © 2017, Editorial Department of Journal of Beijing University of Technology. All right reserved.

Keyword:

Approximate dual; Dual frame; g-frame

Author Community:

  • [ 1 ] [Tian, Y.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Li, Y.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2017

Issue: 9

Volume: 43

Page: 1434-1437

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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