So for my LA class I am to prove that all functions f such that they are contiunous over the [0,1] and their integral over the same integral = 0 is a subspace of the function space of continuous functions over [0,1]. So I think my proof is fine but I have one semi-technical question. Is it ok just to state:(adsbygoogle = window.adsbygoogle || []).push({});

"if f, g are continuous over [0,1] f+g must also be by a theorem of calculus and if f is continuous rf must also be by a theorem of calculus."

I'm leaning towards no but I'm not sure

**Physics Forums - The Fusion of Science and Community**

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!

# Function Space question:

Loading...

Similar Threads for Function Space question | Date |
---|---|

I Understanding Vector Spaces with functions | Feb 4, 2017 |

I Components of functions in vector spaces | Sep 28, 2016 |

Why there's no L^2[-inf,inf] space? | Feb 2, 2015 |

Questions about a basis and others for the vector space R^X (functions from X->R) | Feb 3, 2012 |

Question regarding basis of function space | Jan 26, 2012 |

**Physics Forums - The Fusion of Science and Community**