On the modulus of C. J. Read's operator
Abstract
Let T be the quasinilpotent operator on ell1 without an invariant subspace constructed by C. J. Read in [R3]. 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 in [AAB1,AAB3]
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