On \tilde{X}-frames and conjugate systems in Banach spaces

Subject Approximation theory
Title On \tilde{X}-frames and conjugate systems in Banach spaces
Author(s) Miqdad Ismailov, Afet Jabrailova
Keywords p-frames, \tilde{X}-frames, conjugate systems to \tilde{X}
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 are introduced. Analogues of the results on the existence of conjugate system are obtained. The stability of \tilde{X}-frame having a conjugate system is studied.