Düzgün Jordan operatörlerinin değişmez altuzaylarının hemen hemen-afin yörüngeleri

Abstract

We consider the result obtained by Raphael Clouatre in 2014 in connection with the problem of classifying invariant subspaces of uniform Jordan operators, which refines the work of Bercovici and Smotzer. Furthermore, to consider similar situations for operators not necessarily defined on Hilbert spaces, we analyze the L_p-dilation theory of Akcoglu and Sucheston.