Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 529, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127278
Keywords
Hypercyclic operators; Operator weighted shifts
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The passage describes the construction of an operator on a separable Hilbert space that is 5-hypercyclic for all δ in the range (ε, 1) and is not 5-hypercyclic for all δ in the range (0, ε).
For every fixed epsilon is an element of (0, 1), we construct an operator on the separable Hilbert space which is 5-hypercyclic for all delta is an element of (epsilon, 1) and which is not 5-hypercyclic for all delta is an element of (0, epsilon).(c) 2023 Elsevier Inc. All rights reserved.
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