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- W2785161021 abstract "This paper considers weak supercyclicity for bounded linear operators on a normed space. On the one hand, weak supercyclicity is investigated for classes of Hilbert-space operators: (i) self-adjoint operators are not weakly supercyclic, (ii) diagonalizable operators are not weakly l-sequentially supercyclic, and (iii) weak l-sequential supercyclicity is preserved between a unitary operator and its adjoint. On the other hand, weak supercyclicity is investigated for classes of normed-space operators: (iv) the point spectrum of the normed-space adjoint of a power bounded supercyclic operator is either empty or is a singleton in the open unit disk, (v) weak l-sequential supercyclicity coincides with supercyclicity for compact operators, and (vi) every compact weakly l-sequentially supercyclic operator is quasinilpotent." @default.
- W2785161021 created "2018-02-02" @default.
- W2785161021 creator A5049995287 @default.
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- W2785161021 date "2018-01-24" @default.
- W2785161021 modified "2023-09-23" @default.
- W2785161021 title "On Weak Supercyclicity II." @default.
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