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Tuples with hereditarily hypercyclic property. (English) Zbl 1279.47019

Summary: In this paper, we characterize some necessary and sufficient conditions for a tuple of operators to be hereditarily hypercyclic.

MSC:

47A16 Cyclic vectors, hypercyclic and chaotic operators
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)