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Disjoint hypercyclic weighted pseudoshift operators generated by different shifts
- Source :
- Banach J. Math. Anal. 13, no. 4 (2019), 815-836
- Publication Year :
- 2019
- Publisher :
- Duke University Press, 2019.
-
Abstract
- Let $I$ be a countably infinite index set, and let $X$ be a Banach sequence space over $I$ . In this article, we characterize the disjoint hypercyclic and supercyclic weighted pseudoshift operators on $X$ in terms of the weights, the OP-basis, and the shift mappings on $I$ . Also, the shifts on weighted $L^{p}$ spaces of a directed tree and the operator weighted shifts on $\ell ^{2}(\mathbb{Z},\mathcal{K})$ are investigated as special cases.
- Subjects :
- Mathematics::Functional Analysis
Algebra and Number Theory
Banach space
Disjoint sets
disjoint hypercyclic
weighted pseudoshifts
disjoint supercyclic
Sequence space
Combinatorics
operator weighted shifts
Tree (descriptive set theory)
Operator (computer programming)
Index set
Countable set
46E15
Lp space
Analysis
47A16
Mathematics
47B38
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Banach J. Math. Anal. 13, no. 4 (2019), 815-836
- Accession number :
- edsair.doi.dedup.....b171a020c85c804d3813d952f9377bda