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Math Help - endomorphism

  1. #1
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    endomorphism

    Hello unfortunately I can not show that the application "u" below is an endomorphism of E, if you can help me you are welcome, thank you.

    These data :
    u:f\in E \longrightarrow u(f) where \forall x \in \mathbb{R}, u(f)(x)=xf^{'}(x)
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  2. #2
    MHF Contributor

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    It would help if you told us what 'E' was! Since you have u(f)= xf'(x), it must be at least 'differentiable functions' but are there any other conditions? And what operations are you allowing? That is, are you thinking of E as a group, vector space or algebra?
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  3. #3
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    Yes of course, excuse me E is a \mathbb{R}vector space
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  4. #4
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    nobody is ready to answer ?
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