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  • 标题:Equivalent continuous g-frames in Hilbert C*-modules
  • 本地全文:下载
  • 作者:A. Nazari ; M. Rashidi-Kouchi
  • 期刊名称:Global Health Governance
  • 电子版ISSN:1939-2389
  • 出版年度:2012
  • 卷号:4
  • 期号:4
  • 语种:English
  • 出版社:Seton Hall University
  • 摘要:In this paper, we investigate the mapping of continuous g-frames in Hilbert C*-module under bounded operators. So, operators that preserve continuous g-frames in Hilbert C*-module were characterized. Then, we intro- duce equivalent continuous g-frames in Hilbert C*-module by the mapping of continuous g-frames in Hilbert C*-module under bounded operators. We show that every continuous g-frame in Hilbert C*-module is equivalent by a continuous Parseval g-frame in this space. We also verify the relation be- tween the mapping of continuous g-frame in Hilbert C*-module and continuous g-frame operator in Hilbert C*-module. Then, we conclude if two continuous Parseval g-frames in Hilbert C*-module are equivalent then they are unitary equivalent.
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