Disjoint Supercyclic Weighted Pseudo-Shifts on Banach Sequence Spaces
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In this article, we present several equivalent conditions ensuring the disjoint supercyclicity of finite weighted pseudo-shifts acting on an arbitrary Banach sequence space. The disjoint supercyclic properties of weighted translations on locally compact discrete groups, the direct sums of finite classical weighted backward shifts, and the bilateral backward operator weighted shifts can be viewed as special cases of our main results. Furthermore, we exhibit an interesting fact that any finite bilateral weighted backward shifts on the space ℓ2 (ℤ) never satisfy the d-Supercyclicity Criterion by a simple proof.
Key wordsDisjoint supercyclicity weighted pseudo-shifts disjoint Blow-up/collapse Property
2010 MR Subject Classification47A16 47B38 46E15
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- Salas H. The Strong Disjoint Blow-up/Collapse Property. J Funct Spaces Appl, 2013, 6 pages. Article ID: 146517Google Scholar