On X ̃-frames and conjugate systems in Banach spaces

Authors

  • Afet Jabrailova Department of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
  • Migdad Ismailov Department of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
Abstract:

The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

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Journal title

volume 01  issue 2

pages  19- 29

publication date 2014-12-01

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