ON SUBSPACE-DISK TRANSITIVITY OF BILATERAL WEIGHTED SHIFTS

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Nareen Bamerni
Adem Kilicman

Abstract

In this paper, we give some properties of subspace-disk transitive operators and use them to
characterize subspace-disk transitive bilateral weighted shifts in terms of their weight sequences. As a consequence,
we show that a bilateral weighted shift is subspace-disk transitive if and only if it satisfies the subspace-diskcyclic
criterion. Then, we give a much simpler condition for some other cases.
Keywords: subspace-diskcyclic operators, subspace-disk transitive operators, weighted shifts

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