1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Linear transformations?

  1. Apr 17, 2004 #1
    I'm kind of stuck with the xf(0), hope this is the right place for this question?

    let L(f) = 2Df - xf(0)
    is L a linear transformation on the space of differentiable functions?

    thanks for your help
    Philip
     
  2. jcsd
  3. Apr 17, 2004 #2

    chroot

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    I'm guessing that x is just some constant, in which case xf(0) is also just some constant. If so, it doesn't affect the linearity of the entire function.

    - Warren
     
  4. Apr 17, 2004 #3
    Thanks, I didn't think of it like that,
    Philip
     
  5. Apr 18, 2004 #4

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    The other possibility is that it's supposed to be written as:

    L(f)(x) = 2(Df)(x) - x f(0)

    so the x is not a constant.
     
  6. Apr 18, 2004 #5
    still linear in f

    But nevertheless it's still linear in f.
    Max.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Linear transformations?
  1. Is this Linear? (Replies: 2)

Loading...