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Name of Norm-preserving Linear Transformations?

  1. Sep 13, 2008 #1
    What is the common name for norm-preserving linear transformations in a normed linear space? I want to say they are the unitary transformations, but I'm just fuzzy enough not to know a good way of proving it.
  2. jcsd
  3. Sep 13, 2008 #2


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    Linear isometries.
  4. Sep 14, 2008 #3
    Thanks! This led me to wikipedia's page which had the equally helpful statement:

    "The isometric linear maps from Cn to itself are the unitary matrices."

    It's good to see my mathematical intuition is in tact after I've been thinking about physics lately =-D
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