算子超等距膨胀的条件

Conditions Of Operators Be Super-isometriclly Ditalable

本文在文[1],[2]的基础上,进一步讨论了算子超等距膨胀的性质,证明了T∈L(H)可超等距膨胀的充分必要条件是T≌P_H M|_H,或者T≌∑■ P_H M|_H这里M是Bergman位移,H∈LatM~*。

We discussed conditions of operators dilated super-isometric in [1]. It is shown that AT∈L(H) is super-isometriclly dilatable iff T≌P_nM|_nor T≌ΣP_nM|n, where M is Bergman shift. H ∈LatM.