The pair (c₀, c₀) fails the Compact Perturbation Property for the minimum modulus, as a rank-one compact perturbation strictly increases the minimum modulus of a non-min-attaining operator.
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Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus
The pair (c₀, c₀) fails the Compact Perturbation Property for the minimum modulus, as a rank-one compact perturbation strictly increases the minimum modulus of a non-min-attaining operator.