Cb is set of all complex valued bounded functions(adsbygoogle = window.adsbygoogle || []).push({});

R is set of Real numbers

Define F:Cb(R)->Cb(R) by F(f)=f^2 for all 'points' f is an element of Cb(R). Prove that F is continuous.

Can someone give me some guidance on how to get started with this one?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Continuous Functions

Loading...

Similar Threads for Continuous Functions |
---|

I Approximating different functions |

I Equality between functions |

I Video (analytic continuation) seems to mix 4-D & 2-D maps |

I Deriving a function from within an integral with a known solution |

A Continuous mass distribution |

**Physics Forums | Science Articles, Homework Help, Discussion**