The Library
A natural space of functions for the Ruelle operator theorem
Tools
Walters, Peter (2007) A natural space of functions for the Ruelle operator theorem. Ergodic Theory and Dynamical Systems, Vol.27 (No.4). pp. 1323-1348. doi:10.1017/S0143385707000028 ISSN 0143-3857.
|
PDF
WRAP_Walters_natural_space.pdf - Requires a PDF viewer. Download (283Kb) |
Official URL: http://dx.doi.org/10.1017/S0143385707000028
Abstract
We study a new space, $R(X)$, of real-valued continuous functions on the space $X$ of sequences of zeros and ones. We show exactly when the Ruelle operator theorem holds for such functions. Any $g$-function in $R(X)$ has a unique $g$-measure and powers of the corresponding transfer operator converge. We also show Bow$(X,T)\neq W(X,T)$ and relate this to the existence of bounded measurable coboundaries, which are not continuous coboundaries, for the shift on the space of bi-sequences of zeros and ones.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Ruelle operators, Transfer operators, Operator theory | ||||
Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0143-3857 | ||||
Official Date: | 22 June 2007 | ||||
Dates: |
|
||||
Volume: | Vol.27 | ||||
Number: | No.4 | ||||
Page Range: | pp. 1323-1348 | ||||
DOI: | 10.1017/S0143385707000028 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year