重单值扩张算子的谱结构与拟相似

Spectral Structure of Operators with Double Single-Valued Extension Property and Quasisimilarity

本文证明了，若T是重单值扩张算子，则若T1是重单值扩张（C）算子，T2是任一有界线性算子，T1与T2拟相似，则σe（T1）＝σk（T1）σk（T2）＝σe（T2）

In this paper, we show that if T has double single-valued extension property,then σ(T) =σD(T) U (T) U σ(T). If T1 is (C) operator and has double singlevalued edension property and T2 is any bounded linear operator quasisimilar to T1,then σe(T1) =σk(T1) σk(T2) = σe(T2).