Rank one perturbations of diagonal operators without eigenvalues
classification
🧮 math.FA
keywords
diagonaleigenvaluesrankwithoutadmitsanswerseveryhilbert
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In this paper, we prove that every diagonal operator on a Hilbert space of which is of multiplicity one and has perfect spectrum admits a rank one perturbation without eigenvalues. This answers a question of Ionascu.
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