Let H be a complex infinite dimensional Hilbert space and $T\in B(H)$. Is it true that $T=I$ given $ \sigma_{p}(T)=\lbrace 1\rbrace$?
2026-03-30 03:38:02.1774841882
Do we have $T=I$ if $\sigma_{p}(T)=\lbrace 1\rbrace$?
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