Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms

In the present paper derivations and �-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all L 0 -linear derivations and L 0 -linear �-automorphisms are inner. Moreover, it is proved that each L 0 -linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial.

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