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Coupled operator systems and multiparameter spectral theory*
Published online by Cambridge University Press: 14 November 2011
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 1-2 , 1978 , pp. 23 - 34
- Copyright
- Copyright © Royal Society of Edinburgh 1978
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