巴拿赫空间中的q-框架

Some Properties of q-frame in Banach Space

在分析算子和合成算子概念的基础上讨论了Banach空间中的q-框架的性质,得到了与H ilbert空间框架中相类似的一些结论,并给出了可对偶q-框架的充要条件.

Based on the concepts of analysis operator and synthesis operator, this article discusses the properties of q-frames in Banach spaces. As a result some similar conclusions to those in Hilbert spaces are obtained, with some necessary and sufficient conditions of dual q-frame in Banach spaces are introduced.