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G-Frames and operator valued-frames in Hilbert C*-modules


Abstract

g-frames and fusion frames in Hilbert C*-modules have been defined by the second author and B.~Khosravi in [15] and operator-valued frames in Hilbert C*-modules have been defined by Kaftal et al in [11]. We show that every operator-valued frame is a g-frame, we also show that in Hilbert C*-modules tensor product of orthonormal basis is an orthonormal basis and tensor product of g-frames is a g-frame, we get some relations between their g-frame operators, and we study tensor product of operator-valued frames in Hilbert C*-modules.


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Article Information

TitleG-Frames and operator valued-frames in Hilbert C*-modules
SourceMethods Funct. Anal. Topology, Vol. 17 (2011), no. 1, 10-19
MathSciNet MR2815375
CopyrightThe Author(s) 2011 (CC BY-SA)

Authors Information

Sedighe Hosseini
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Amir Khosravi
Faculty of Mathematical Sciences and Computer, Tarbiat Moallem University, 599 Taleghani Ave., Tehran, 15618, Iran 


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Citation Example

Sedighe Hosseini and Amir Khosravi, G-Frames and operator valued-frames in Hilbert C*-modules, Methods Funct. Anal. Topology 17 (2011), no. 1, 10-19.


BibTex

@article {MFAT555,
    AUTHOR = {Hosseini, Sedighe and Khosravi, Amir},
     TITLE = {G-Frames and operator valued-frames in Hilbert  C*-modules},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {10-19},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=555},
}


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