English

Weighted composition operators of $C_0(X)$'s

Functional Analysis 2008-02-03 v1

Abstract

In this paper, we prove that into isometries and disjointness preserving linear maps from C0(X)C_0(X) into C0(Y)C_0(Y) are essentially weighted composition operators Tf=hfφTf = h\cdot f\circ\varphi for some continuous map φ\varphi and some continuous scalar-valued function hh.

Keywords

Cite

@article{arxiv.math/9607212,
  title  = {Weighted composition operators of $C_0(X)$'s},
  author = {Jyh-Shyang Jeang and Ngai-Ching Wong},
  journal= {arXiv preprint arXiv:math/9607212},
  year   = {2008}
}