Disjoint diskcyclicity of weighted shifts

Abstract

In this article, we will discuss disjoint diskcyclicity for finitely many operators acting on a separable, infinite dimensional Fréchet space XX. More precisely, we provide disjoint disk blow-up/collapse property and disjoint diskcyclicity criterion. In addition, we characterize the disjoint diskcyclicity for weighted shifts both in the bilateral and unilateral cases.

Keywords

• disjoint diskcyclic
• criterion
• weighted shift
• operator
• 47a16
• 47b38
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