Apr 22'25

Exercise

[math] \newcommand{\mathds}{\mathbb}[/math]

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Try understanding what the law of the simplest non-normal operator,

[[math]] J=\begin{pmatrix}0&1\\0&0\end{pmatrix} [[/math]]

acting on [math]H=\mathbb C^2[/math] should be. Look also at more general Jordan blocks.