J. E. Ruziev

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Articles: 1

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

Methods Funct. Anal. Topology 15 (2009), no. 2, 177-187

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.