未分类题
设H是Hilbert空间，T：D(T)
H→H是自共轭算子，U是T的Cayley变换，
证明φ(σ(T))=σ(U)\{1}
A.174.24.96:6088/Latex/latex.action?latex=XHN1YnNldA%3D%3D'
B.174.24.96:6088/Latex/latex.action?latex=XHBoaSh6KT1cZnJhY3t6LWl9e3oraX0%3D'
【参考答案】
[证明]设z∈ρ(T)，且z≠-i，w=φ(z)．则w≠1，且有
=
=(zI-T)(T......
(↓↓↓ 点击下方‘点击查看答案’看完整答案 ↓↓↓)
B.174.24.96:6088/Latex/latex.action?latex=XHBoaSh6KT1cZnJhY3t6LWl9e3oraX0%3D'
【参考答案】
[证明]设z∈ρ(T)，且z≠-i，w=φ(z)．则w≠1，且有
=
=(zI-T)(T......
(↓↓↓ 点击下方‘点击查看答案’看完整答案 ↓↓↓)