Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

Hypercyclic operators, Gauss measures an...

Dayan, Yiftach...

Free

Share this content

Hypercyclic operators, Gauss measures and Polish dynamical systems by Dayan, Yiftach ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	In this work we consider hypercyclic operators as a special case of Polish dynamical systems. In the first section we analyze the construction of Bayart and Grivaux of a hypercyclic operator which preserves a Gaussian measure, and derive a description of the maximal spectral type of the Koopman operator associated to the corresponding measure preserving dynamical system. We then use this information to show the existence of a mildly but not strongly mixing hypercyclic operator on Hilbert space. In the last two sections we study hypercyclic and frequently hypecyclic operators which, as Polish dynamical systems are, M-systems, E-systems, and syndetically transitive systems.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1211.0105

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Dayan, Yiftach. Hypercyclic operators, Gauss measures and Polish dynamical systems. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/16028

APA 7th EditionReferences

Dayan, Yiftach. (2023). Hypercyclic operators, Gauss measures and Polish dynamical systems. Australian National University. https://online.provdatabase.com/cite/16028

Chicago 17th EditionReferences

Dayan, Yiftach. Hypercyclic operators, Gauss measures and Polish dynamical systems. Australian National University. 2023. https://online.provdatabase.com/cite/16028

HarvardReferences

Dayan, Yiftach. (2023). Hypercyclic operators, Gauss measures and Polish dynamical systems. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/16028. (Accessed 02 October 2025).

Harvard AustraliaReferences

Dayan, Yiftach, 2023, Hypercyclic operators, Gauss measures and Polish dynamical systems, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/16028>

MLA 9th EditionWorks Cited

Dayan, Yiftach. Hypercyclic operators, Gauss measures and Polish dynamical systems. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/16028.

Share this eBook