Abstract
A coordinate description of the normalisers of CSL algebras is provided. It is shown that the linear span of the normalisers of a continuous nest algebra A, which lie in A, is ultraweakly dense in A. It is proved that, within the classes of continuous nest algebras and totally atomic CSL algebras, the normaliser semigroup determines the algebra up to adjoint. A complete description of the relation between two nest algebras with the same normalisers is given.
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