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Math Help - algebraic properties of L(S)

  1. #1
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    algebraic properties of L(S)

    The equation x^2-I=0 has infinitely many solutions on L(R).

    Prove.
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  2. #2
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    Quote Originally Posted by bookie88 View Post
    The equation x^2-I=0 has infinitely many solutions on L(R).

    Prove.
    What is L(R)? What do you mean by x^2-I? The first thing that comes to mind is L^1(\mathbb{R} ) and x an operator x:L^1(\mathbb{R} ) \rightarrow L^1 (\mathbb{R} ). Am I right? Please give all the relevant definitions.
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  3. #3
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    i figured it out. L(R) is linear equations of all real numbers.

    so it would look like (a,b)^2-(1,0)=0
    (a^2-1,ab+b)=0 and just solve from there.
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