Invariant K-minimal Sets in the Discrete and Continuous Settings

Abstract

A sufficient condition for a set Ω ⊂ L ([0, 1]) to be invariant Kminimal with respect to the couple ( L ([0, 1]) , L∞ ([0, 1]) ) is established. Through this condition, different examples of invariant K-minimal sets are constructed. In particular, it is shown that the L-closure of the image of the L∞-ball of smooth vector fields with support in (0, 1) under… (More)

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