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Isometric shifts on C0 (X)

Jyh-Shyang Jeang Ngai-Ching Wong

Functional Analysis mathscidoc:1910.43668

Journal of mathematical analysis and applications, 274, (2), 772-787, 2002.10
For a linear isometry T: C 0 (X) C 0 (Y) of finite corank, there is a cofinite subset Y 1 of Y such that Tf| Y 1= h f is a weighted composition operator and X is homeomorphic to a quotient space of Y 1 modulo a finite subset. When X= Y, such a T is called an isometric quasi-n-shift on C 0 (X). In this case, the action of T can be implemented as a shift on a tree-like structure, called a T-tree, in M (X) with exactly n joints. The T-tree is total in M (X) when T is a shift. With these tools, we can analyze the structure of T.
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@inproceedings{jyh-shyang2002isometric,
  title={Isometric shifts on C0 (X)},
  author={Jyh-Shyang Jeang, and Ngai-Ching Wong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210104912451197},
  booktitle={Journal of mathematical analysis and applications},
  volume={274},
  number={2},
  pages={772-787},
  year={2002},
}
Jyh-Shyang Jeang, and Ngai-Ching Wong. Isometric shifts on C0 (X). 2002. Vol. 274. In Journal of mathematical analysis and applications. pp.772-787. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210104912451197.
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