π_1空间上循环自共轭算子的谱系特型

THE SPECIAL SPECTRAL SYSTEM FORM OF CYCLIC SELFADJOINT OPERATORS ON Π_1

本文利用πk上自共轭算子的三角模型刻画给出了π1上循环自共轭算子的谱系特型,从而指出了在不定度规空间上建立自共轭算子相应谱测度的极为困难性。

Taking advantage of the triangular modular of selfadjoint operators on Π_k.we gain the concrete spectral system of a cyclic selfadjoint operator on Π_1 and so point cut the very difficulty to establish the spectral measure of selfadjoint operators on indefinite metric spaces.