Close CSL algebras are similar
We prove that if \(\mathcal A\) and \(\mathcal B\) are two CSL algebras whose unit balls are sufficiently close in the Hausdorff metric, then \(\mathcal A\) and \(\mathcal B\) are similar via an invertible opererator which is close to the identity. This result does not require any assumptions regarding hyperreflexivity.
scientific article; zbMATH DE number 683137
scientific article