A. A. Zaitov
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Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms
S. Albeverio, Sh. A. Ayupov, A. A. Zaitov, J. E. Ruziev
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.
On monad of order-preserving functionals
Methods Funct. Anal. Topology 11 (2005), no. 3, 306-308
On categorical properties of the functor of order-preserving functionals
Methods Funct. Anal. Topology 9 (2003), no. 4, 357-364
The density and cellularity of the spaces of signed measures and probabilirty measures
Methods Funct. Anal. Topology 8 (2002), no. 3, 85-89
