框架的膨胀

The inflation of frames

引入了Hilbert空间中点列的膨胀的概念,即在原有点列中添加新的元素称为点列的膨胀.定义新的"并"来表示点列的膨胀.讨论了Bessel族,框架以及紧框架膨胀后的稳定性,并得到了一系列的充分必要条件.

Several inflation forms of sequences in a hilbert space axe introduced, that is put some new elements to the original sequence, and we call them the inflation of sequence, a new ＂union＂ is defined to express the inflation of sequence. The stability about inflation of Bessel sequence, frames and tight frames are discussed. Then a series of necessary and sufficient conditions are proved.