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    I was wondering if anyone could help me with this point in the book I'm reading.

    The claim is that for x in the spectrum of an element a, within a unital complex Banach algebra, |x^n| is less than or equal to ||a^n||, for n a natural number. I don't see at all how this follows.

    Thanks for any help.
 
 
 
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Updated: March 5, 2018
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