International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 4, Pages 717-724
doi:10.1155/S016117129400102X
Locally compact semi-algebras generated by a commuting operator family
N.R. Nandakumar1
and Cornelis V.M. Van der Mee2
1Department of Mathematics, Delaware State University, Dover 19901, DE, USA
2Department of Physics \& Astronomy, Free University, Amsterdam, The Netherlands
Abstract
Conditions are provided for the local compactness of the closed semi-algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of their joint spectral properties.