Abstract
设P（H）表示复Hilbert空间H上的所有正交投影且dimH〉2.本文证明了满射Φ：B（H）→B（H）满足A-λB∈P（H）（？）Φ（A）-λΦ（B）∈P（H）的充要条件是存在酉算子U：H→H使得对任意A∈B（H）,有Φ（A）=UAU＊,或者存在共轭酉算子U：H→H使得对任意A∈B（H）,有Φ（A）=UA＊U＊.
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