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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Can you define the terms "compact friendly" and "discrete Banach lattice"?
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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