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On the representation of doubly stochastic integral operators by means of disjoint isomorphisms. (English. Russian original) Zbl 0254.47063

Semin. Math., V. A. Steklov Math. Inst., Leningrad 19, 112-119 (1972); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklov 19, 196-208 (1970).

MSC:

47Gxx Integral, integro-differential, and pseudodifferential operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
47C05 Linear operators in algebras
28D05 Measure-preserving transformations