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Math Help - A family of operators with a specific property

  1. #1
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    A family of operators with a specific property

    Hi! I'm stuck trying to solve the below stated problem. (Any suggestions and help is more than welcome). Thanks!

    PROBLEM: Define T_b by T_b f(t)=bf(t) (where f(t)\in L^p([0,1]) and 1\leq p fixed). The task is to find all bounded linear maps T from L^p([0,1]) to  L^p([0,1]) with the property TT_b=T_bT.
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  2. #2
    Super Member girdav's Avatar
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    Re: A family of operators with a specific property

    Is b a function?
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  3. #3
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    Re: A family of operators with a specific property

    No, b is just an independent variable.
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