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Derivations with values in quasi-normed bimodules of locally measurable operators

A. F. BerNational University of Uzbekistan, Tashkent, 100174, UzbekistanVladimir ChilinNational University of Uzbekistan, Tashkent, 100174, UzbekistanGalina LevitinaNational University of Uzbekistan, Tashkent, 100174, Uzbekistan
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We prove that every derivation acting on a von Neumann algebra M with values in a quasi-normed bimodule of locally measurable operators affiliated with M is necessarily inner.

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