Suppose $T$ is a bounded operator, $T_n$ a sequence of bounded operators convergent to $T$. If we know the spectrum of $T$, is it true that the spectrum of $T_n$ converges to the spectrum of $T$? Would have been different if the operators are of finite rank, so the spectrum is formed only by eigenvalue?
2026-03-31 19:44:49.1774986289
Spectrum of a sequence of operator from limit operator spectrum
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