Operators of Read's type with no non-trivial invariant subset satisfy the Hypercyclicity Criterion, so T⊕T is hypercyclic.
Grivaux, Hypercyclic operators, mixing operators, and the bounded s teps problem, J
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On the Hypercyclicity Criterion for operators of Read's type
Operators of Read's type with no non-trivial invariant subset satisfy the Hypercyclicity Criterion, so T⊕T is hypercyclic.