Abstract. In this paper we introduce the concept of hereditarily subspace-hypercyclic and hereditarily subspace-transitive operators. We state some sufficient conditions for an operator to be hereditary subspace-hypercyclic. Also We show that in some cases, hereditary subspace-transitivity is equivalent to subspace-mixing.

Received: March 18, 2016

AMS Subject Classification: 47A16, 47B37, 37B99

Key Words and Phrases: subspace-hypercyclic operators, hereditarily subspace-hypercyclic operators, hereditarily subspace-transitive operators, subspace-mixing operator

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DOI: 10.12732/ijpam.v108i3.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 3
Pages: 621 - 628

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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