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Functorial properties of the lattice of functional semi-norms. (English) Zbl 0594.28014

The author determines, when a measurable transformation between measure spaces preserves the lattice of functional semi-norms, and when it does preserve norms. Some other properties of the correspondence between measure spaces and the lattice of semi-norms are also given.
Reviewer: S.Priščepionok

MSC:

28D05 Measure-preserving transformations
18B99 Special categories
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