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!

Verify that the Riesz vector is unique

  1. Dec 9, 2012 #1
    1. The problem statement, all variables and given/known data
    The Riesz representation theorem gives us that forall f in V* there exists a unique R_f in V such that f(x) = <x, R_f >. (<,> is my attempt to type inner product angle brackets) Verify that R_f is unique.

    2. Relevant equations

    If I knew the relevant equations I think I could get this done on my own

    3. The attempt at a solution

    No attempts at a solution because i dont even know where to begin.

    Usually when i prove uniqueness I start with the assumption that two solutions exist and then prove that they end up being the same solution... but i dont see how to work that angle here.

    Any help would be great
     
  2. jcsd
  3. Dec 9, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You already have the correct approach. Assume there are two solutions. Write down the equations the two vectors in V would have to satisfy.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Verify that the Riesz vector is unique
  1. Uniqueness of a vector (Replies: 1)

Loading...