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Disjointness preserving fredholm linear operators of c <sub>0</sub> (x)

Jyh-Shyang Jeang Ngai-Ching Wong

Functional Analysis mathscidoc:1910.43684

Journal of Operator Theory, 61-75
Let X and Y be locally compact Hausdorff spaces. We give a full description of disjointness preserving Fredholm linear operators T from C0(X) into C0(Y), and show that is continuous if either Y contains no isolated point or T has closed range. Our task is achieved by writing T as a weighted composition operator Tf = h f . Through the relative homeomorphism , the structure of the range space of T can be completely analyzed, and X and Y are homeomorphic after removing finite subsets.
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@inproceedings{jyh-shyangdisjointness,
  title={DISJOINTNESS PRESERVING FREDHOLM LINEAR OPERATORS OF C <sub>0</sub> (X)},
  author={Jyh-Shyang Jeang, and Ngai-Ching Wong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210540833447213},
  booktitle={Journal of Operator Theory},
  pages={61-75},
}
Jyh-Shyang Jeang, and Ngai-Ching Wong. DISJOINTNESS PRESERVING FREDHOLM LINEAR OPERATORS OF C <sub>0</sub> (X). In Journal of Operator Theory. pp.61-75. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210540833447213.
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