Article contents
Boolean algebras of projections in (DF)-and (LF)-spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Conditions are presented which ensure that an abstractly σ-complete Boolean algebra of projections on a (DF)-space or on an (LF)-space is necessarily equicontinuous and/or the range of a spectral measure. This is an extension, to a large and important class of locally convex spaces, of similar and well known results due to W. Bade (respectively, B. Walsh) in the setting of normed (respectively metrisable) spaces.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2003
References
- 1
- Cited by