Indian Journal of Pure and Applied Mathematics

, Volume 50, Issue 4, pp 863–875 | Cite as

Continuous controlled K-g-frames in Hilbert spaces

  • R. RezapourEmail author
  • A. RahimiEmail author
  • E. OsgooeiEmail author
  • H. DehghanEmail author


In this paper, we introduce the concept of continuous controlled K-g-frames which are generalizations of discrete controlled K-g-frames. These frames include many of previous generalizations of frames. We discuss characterizations of continuous controlled K-g-frames in Hilbert spaces. Finally, we propose several methods to construct such frames.

Key words

Controlled K-g-frames continuous frame g-Bessel sequences frame operator 


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The authors would like to thanks Professor M. H. Faroughi for his comments and suggestions. Also, they would like to thank the reviewers for their valuable comments.


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Copyright information

© Indian National Science Academy 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Shabestar BranchIslamic Azad UniversityShaberstarIran
  2. 2.Department of MathematicsUniversity of MaraghehMaraghehIran
  3. 3.Department of SciencesUrmia University of TechnologyUrmiaIran
  4. 4.Department of MathematicsInstitute for Advanced Studies in Basic Sciences (IASBS)Gava Zang, ZanjanIran

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