Coupled operator systems and multiparameter spectral theory
Gary F. Roach, Brian D. Sleeman · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1978
Synopsis In this paper a spectral theory for completely coupled linear operator systems is developed. These systems take the form where Ak, Bk are n × n matrices with operator entries. Λ is an n × n matrix with complex scalar entries and xk is an n × 1 column vector. The main result is a Parseval equality and expansion theorem.