2022/03/12 by Nadia Assila, Samir Kabbaj, Assila, Nadia +5
Engineering · Mathematics · Medicine · #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Ocular and Laser Science Research #Orthopedic Surgery and Rehabilitation #Welding Techniques and Residual Stresses
paper · pdf · doi:10.48550/arxiv.2203.06473
openalex publication_date 2022/03/12 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
Continuous generalized fusion frame theory was recently introduced by Rahimi\nand al. Several equalities and inequalities have been obtained for frame,\nfusion generalized fusion frame, among others. In the present paper, we\ncontinue and extend these results to obtain some important identities and\ninequalities in the case of continuous generalized fusion frame, Parceval\ncontinuous generalized fusion frame, \λ-tight continuous generalized\nfusion frame. Moreover, we obtain some new inequalities for the alternate dual\ncontinuous generalized fusion frame. Finally, we obtain frame operator of a\npair of Bessel continuous generalized fusion mapping and we derive some results\nabout resolution of identity.\n