IJPAM: Volume 108, No. 3 (2016)
Postcode 4166616711, Rasht, IRAN
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
Pages: 621 - 628