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The averaging operator with respect to a countable partition on a minimal symmetric ideal of the space \(L^1(0,1)\). (Russian) Zbl 0506.46020


MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
60B11 Probability theory on linear topological spaces
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