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## Main Question or Discussion Point

Hi,

If T is a bounded linear operator on a Hilbert space, what can we say about the spectra of T and T* ([itex]\sigma(T)=\{\lambda:T-\lambda I[/itex] is not invertible})?

If T is a bounded linear operator on a Hilbert space, what can we say about the spectra of T and T* ([itex]\sigma(T)=\{\lambda:T-\lambda I[/itex] is not invertible})?