论文标题
关于希尔伯特空间中连续的广义融合框架的某些不平等现象
On Some Inequalities-Equalities Concerning the continuous generalized Fusion Frame in Hilbert spaces
论文作者
论文摘要
Rahimi和Al最近引入了连续的广义融合框架理论。对于框架，融合通用的融合框架，已经获得了几种平等性和不平等。在本文中，我们继续并扩展这些结果，以获得一些重要的身份和不平等，如果是连续的广义融合框架，Parceval连续的广义融合框架，$λ$ - $ - $ - $ - - - - - - - - - - - - $ - - - - - - - - - - - - - - - - - λ$ - - - - - - - - - - - - - λ$ - - - - - - - - - - λ$ - - - - - - - - - - - - - λ$ - - - - - - - - - - - - λ$ - - - - - - - - λ$此外，我们为替代双重连续的广义融合框架获得了一些新的不平等现象。最后，我们获得了一对贝塞尔连续广泛融合映射的框架运算符，并获得了有关身份分辨率的一些结果。
Continuous generalized fusion frame theory was recently introduced by Rahimi and al. Several equalities and inequalities have been obtained for frame, fusion generalized fusion frame, among others. In the present paper, we continue and extend these results to obtain some important identities and inequalities in the case of continuous generalized fusion frame, Parceval continuous generalized fusion frame, $ λ$-tight continuous generalized fusion frame. Moreover, we obtain some new inequalities for the alternate dual continuous generalized fusion frame. Finally, we obtain frame operator of a pair of Bessel continuous generalized fusion mapping and we derive some results about resolution of identity.
