article · Filomat
This paper is a continuation of our recent work on super-recurrence of operators [3]. We introduce and study subspace-super recurrence of operators. We give the relationship between this new class of operators, super recurrent operators, and other well known class of operators of linear topological dynamics. Several examples and proprieties are given. In particular, we give the relationship between subspace-super recurrence of an operator T and the set of its eigenvectors. Also we present some sufficient conditions of subspace-super recurrence and we demonstrate a subspace-super recurrence criterion. As application, we study the case of shifts operators.
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DOI: 10.2298/fil2409093b
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