Hilbert空间中的斜对偶g-框架

Oblique Dual g-Frames in Hilbert Spaces

在Hilbert空间中把斜对偶原理推广到更一般的g-框架.我们给出了{A_j:j∈J}是g-框架{F_j:j∈J}的一个斜对偶g-框架的等价条件,还给出了一个斜对偶g-框架对是对称的充分条件.最后,在不同的条件下构造了几对斜对偶g-框架.

We generalize the oblique principles to the more general g-frames in Hilbert spaces.We give the equivalent condition for a g-frame {∧_j：j∈J} to be an oblique dual g-frame of {Γ_j：j∈J}.We also give the sufficient condition for a pair of oblique dual g-frames to be symmetric.At the end of this paper we construct several pairs of oblique dual g-frames under different conditions.