Vol. 75, No. 2, 1978

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
The structure of a special class of weighted translation semigroups

Mary Rodriguez Embry and Alan Leslie Lambert

Vol. 75 (1978), No. 2, 359–371
Abstract

A special class of weighted translation semigroups {St} on 2(+) is studied. The weakly closed algebra 𝒜 generated by the semigroup is maximal abelian and the spectra of elements of 𝒜 are studied. It is shown that each densely defined linear transformation commuting with 𝒜 is closable and that every transitive algebra containing 𝒜 is weakly dense in the full algebra of operators on L2(+).

Mathematical Subject Classification
Primary: 47D05, 47D05
Milestones
Received: 20 April 1977
Revised: 2 June 1977
Published: 1 April 1978
Authors
Mary Rodriguez Embry
Alan Leslie Lambert