Recurrent and periodic points for isometries of L∞ spaces

Ege Fujikawa; Katsuhiko Matsuzaki

doi:10.1512/iumj.2006.55.2660

Recurrent and periodic points for isometries of L^∞ spaces

Ege Fujikawa^*, Katsuhiko Matsuzaki

^*この研究の対応する著者

研究成果: Article › 査読

4 被引用数 (Scopus)

抄録

We study the action of isometries on metric spaces. In particular, we consider the recurrent set of the bilateral shift operator on the Banach space L^∞ (ℤ), and prove that the set of periodic points is not dense in the recurrent set. Then we apply this result to investigating the dynamics of Teichmüller modular groups acting on infinite dimensional Teichmüller spaces as well as composition operators acting on Hardy spaces. Indiana University Mathematics Journal

本文言語	English
ページ（範囲）	975-997
ページ数	23
ジャーナル	Indiana University Mathematics Journal
巻	55
号	3
DOI	https://doi.org/10.1512/iumj.2006.55.2660
出版ステータス	Published - 2006
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1512/iumj.2006.55.2660

他のファイルとリンク

引用スタイル

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