On the direct sum of two bounded linear operators and subspace-hypercyclicity

الملخص EN

In this paper, we study the relation between subspace-hypercyclicity and the direct sum of two operators.

In particular, we show that if the direct sum of two operators is subspace-hypercyclic, then both operators are subspace-hypercyclic; however, the converse is true for a stronger property than subspace-hypercyclicity.

Moreover, we prove that if an operator T satisfies subspace-hypercyclic criterion, then T ⊕T is subspace-hypercyclic.

However, we show that the converse is true under certain conditions.©2019 All rights reserved.