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Math Help - two problems about invariant subspace problem

  1. #1
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    two problems about invariant subspace problem

    1)Give an example of invariant subspace which is not compact friendly.

    2)Prove that lp spaces are discrete Banach lattice. p>=1

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  2. #2
    Super Member girdav's Avatar
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    Re: two problems about invariant subspace problem

    Can you define the terms "compact friendly" and "discrete Banach lattice"?
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  3. #3
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    Re: two problems about invariant subspace problem

    A positive operator B on E is said to be compact-friendly if there is a positive operator that commutes with B and dominates a non-zero operator which is dominated by a compact positive operator.
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