Article contents
Borel sets and the spectrum of an operator on an F-space
Published online by Cambridge University Press: 14 November 2011
Synopsis
It is shown that the spectrum of a linear operator T on a complete linear metric space X is a Borel set. If, in addition, X is locally convex or separable, then the spectrum of T is a Gδσ set.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 257 - 261
- Copyright
- Copyright © Royal Society of Edinburgh 1981
References
- 3
- Cited by