On the modulus of C. J. Read's operator

Details On the modulus of C. J. Read's operator On the modulus of C. J. Read's operator

1998-05-27

arxiv.org/abs/math/9805124v1

Mathematics

Functional Analysis

8 pages, LaTeX2e, to appear in Positivity

Scientific paper

Let T be the quasinilpotent operator on ell_1 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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