1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Spectrum, banach algebra

  1. May 9, 2010 #1
    1. The problem statement, all variables and given/known data

    How to show element of finite dimensional banach algebra has finite spectrum?

    2. Relevant equations

    spectrum(x) = set of complex numbers 'c' with cI-x not invertible, I is identity

    3. The attempt at a solution

    please help to start, I dont know
  2. jcsd
  3. May 9, 2010 #2


    Staff: Mentor

    According to the rules of this forum, you have to show an effort at solving this before we can provide help.
  4. May 9, 2010 #3


    User Avatar
    Science Advisor
    Homework Helper

    Try showing that the eigenvalues belonging to different elements of the spectrum are linearly independent.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook