Local derivations on algebra of measurable operators affiliated with commutative real von Neumann algebras
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Local derivations on algebra of measurable operators affiliated with commutative real
von Neumann algebras are considered. A necessary and sufficient condition for the existence of a
non-trivial (non-inner) derivation (local derivation) on an algebra of measurable operators affiliated
with commutative real von Neumann algebra has been found. It turns out that such a condition is
the not-atomicity of the lattice of projectors of the algebra.
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