On a new G-frame and duality

Authors

  • Hosein Avazzadeh Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran.
  • Rajab Ali Kamyabi Gol Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran.
Abstract:

We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames.

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Journal title

volume 5  issue 1

pages  1- 9

publication date 2017-06-24

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