Li-Yorke Chaos for Composition Operators on $L^p$-Spaces Article Swipe
Nilson C. Bernardes
,
Udayan B. Darji
,
Benito Pires
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1810.04210
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1810.04210
Li-Yorke chaos is a popular and well-studied notion of chaos. Several simple and useful characterizations of this notion of chaos in the setting of linear dynamics were obtained recently. In this note we show that even simpler and more useful characterizations of Li-Yorke chaos can be given in the special setting of composition operators on $L^p$ spaces. As a consequence we obtain a simple characterization of weighted shifts which are Li-Yorke chaotic. We give numerous examples to show that our results are sharp.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1810.04210
- https://arxiv.org/pdf/1810.04210
- OA Status
- green
- References
- 13
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2895939399
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2895939399Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1810.04210Digital Object Identifier
- Title
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Li-Yorke Chaos for Composition Operators on $L^p$-SpacesWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-10-09Full publication date if available
- Authors
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Nilson C. Bernardes, Udayan B. Darji, Benito PiresList of authors in order
- Landing page
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https://arxiv.org/abs/1810.04210Publisher landing page
- PDF URL
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https://arxiv.org/pdf/1810.04210Direct link to full text PDF
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1810.04210Direct OA link when available
- Concepts
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CHAOS (operating system), Simple (philosophy), Chaotic, Mathematics, Characterization (materials science), Pure mathematics, Composition (language), Computer science, Physics, Epistemology, Artificial intelligence, Philosophy, Computer security, Optics, LinguisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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13Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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