Hazra, S and Basila, P
(2022)
*HOMOMORPHISMS BETWEEN C(X) AND C(Y).*
In: Mathematics Student, 91
(3-4).
pp. 1-10.

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Official URL: https://www.researchgate.net/publication/365070244...

## Abstract

In this short note, we give an elementary proof of the following well-known theorem. Let X and Y be compact Hausdorff spaces. If ρ: C(X) → C(Y) is a unital homomorphism, then there exists a continuous function p: Y → X such that (ρ(f))(y) = f(p(y)), x ∈ X, y ∈ Y, f ∈ C(X). © Indian Mathematical Society, 2022.

Item Type: | Journal Article |
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Publication: | Mathematics Student |

Publisher: | The Indian Mathematical Society |

Additional Information: | The copyright for this article belongs to the The Indian Mathematical Society. |

Keywords: | Homomorphisms; Linear functionals; Linear maps |

Department/Centre: | Administration > Other Offices Others |

Date Deposited: | 09 Nov 2022 05:16 |

Last Modified: | 09 Nov 2022 05:18 |

URI: | https://eprints.iisc.ac.in/id/eprint/77652 |

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