Bimodules over nest algebras and Deddens’ theorem
Ivan G. Todorov · Proceedings of the American Mathematical Society · 1999
We generalize Deddens’ theorem for nest algebras in the case of w*-closed nest algebras bimodules. For each such bimodule, we introduce a norm closed sub-bimodule of it, which corresponds to the radical of a nest algebra and describe it in a number of ways, generalizing known facts about nest algebras.