Abstract
We introduce two different notions of disjoint distributional chaos for sequences of continuous linear operators in Fréchet spaces. We focus special attention to the analysis of some specific classes of linear continuous operators having a certain disjoint distributionally chaotic behaviour, providing also a great number of illustrative examples and applications of our abstract theoretical results.
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The author was partially supported by Grant 174024 of Ministry of Science and Technological Development, Republic of Serbia.
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Kostić, M. Disjoint Distributional Chaos in Fréchet Spaces. Results Math 75, 83 (2020). https://doi.org/10.1007/s00025-020-01210-7
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DOI: https://doi.org/10.1007/s00025-020-01210-7
Keywords
- Disjoint distributional chaos
- disjoint irregular vectors
- backward shift operators
- weighted translation operators on locally compact groups
- Fréchet spaces