Let $$T:\ell _1 \to \ell _1 $$ be the quasinilpotent operator without an invariant subspace constructed by C. J. Read. We prove that the modulus of this operator has an invariant subspace (and even an eigenvector). This answers a question posed by Y. Abramovich, C. Aliprantis and O. Burkinshaw.
Positivity – Springer Journals
Published: Oct 7, 2004
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