Boolean algebras of projections and algebras of spectral operators

Dowson, H.R., Ghaemi, M.B. and Spain, P.G. (2003) Boolean algebras of projections and algebras of spectral operators. Pacific Journal of Mathematics, 209(1), pp. 1-16. (doi: 10.2140/pjm.2003.209.1)

Full text not currently available from Enlighten.

Publisher's URL:


We show that, given a weak compactness condition which is always satisfied when the underlying space does not contain an isomorphic copy of c0, all the operators in the weakly closed algebra generated by the real and imaginary parts of a family of commuting scalar-type spectral operators on a Banach space will again be scalar-type spectral operators, provided that (and this is a necessary condition with even only two operators) the Boolean algebra of projections generated by their resolutions of the identity is uniformly bounded.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Spain, Dr Philip
Authors: Dowson, H.R., Ghaemi, M.B., and Spain, P.G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Pacific Journal of Mathematics
Publisher:Mathematical Sciences Publisher

University Staff: Request a correction | Enlighten Editors: Update this record