TY - JOUR ID - 11273 TI - On X ̃-frames and conjugate systems in Banach spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Ismailov, Migdad AU - Jabrailova, Afet AD - Department of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan. AD - Department of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan. Y1 - 2014 PY - 2014 VL - 01 IS - 2 SP - 19 EP - 29 KW - p-frames KW - X ̃-frames KW - Conjugate systems to X ̃ DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_11273.html L1 - https://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf ER -