Hilbert空间K-Fusion框架的构造

Constructions for K-Fusion Frame in Hilbert Spaces

给出Hilbert空间中K-fusion框架的多种构造方法,包括利用一个K-fusion框架的合成算子去构造另一个K-fusion框架,利用两个fusion-Bessel序列及有界线性算子K去构造K-fusion框架.最后利用关于两个fusion-Bessel序列的有界线性算子S(VW)去构造新的K-fusion框架.

We give kinds of methods to construct K-fusion frames in Hilbert spaces, including that we use the synthesis operator of a K-fusion frame to construct another K-fusion frame, and we use two fusion-Bessel sequences and a bounded linear operator K to construct K-fusion frame. In the end we use a bounded linear operator Svw with respect to two fusion-Bessel sequences to construct new K-fusion frames.