The structure of hyperreducible triangular algebras
John R. Schue · Proceedings of the American Mathematical Society · 1964
Introduction.In [5] Kadison and Singer have defined triangular algebras of operators on a Hilbert space and have investigated a number of their properties with the major emphasis on classification and examples.It is the purpose of this paper to give a new construction for the hyperreducible algebras which gives some additional insight into their structure.In particular, Theorem 3 shows that any algebra 3 of this form with diagonal ft can be written 3= ft+S, where S is the weak closure of an increasing sequence of weakly closed nilpotent