有界线性算子L在g-Besselian框架的应用

The applications of a bounded linear operator L in g-Besselian frame

在复Hilbert空间中,有界线性算子L被应用在推广框架中时,其成立的条件不同.讨论由2个g-Bessel序列定义的有界线性算子L满足可逆的、满的等不同条件时,其在g-Besselian框架中的应用,并根据文中的结果证明了其他文献中的相关结论.

Corresponding conditions were needed when the bounded linear operator was applied in extended frame in a complex Hilbert space.In this paper,we discussed the applications of a bounded linear operator L defined by two g-Bessel sequences in g-Besselian frame when it met the different conditions such as reversibility,surjection and so on,and the results proved the related conclusion in the literature.