Measurable Choice And The Invariant Subspace Problem

Authors

Edward A. Azoff, University of Georgia
Frank Gilfeather, University of Nebraska - Lincoln

Document Type

Article

Date of this Version

1974

Citation

Bulletin Of The American Mathematical Society Volume 80, Number 5, September 1974

Comments

Copyright © American Mathematical Society 1974

Abstract

In [1], J. Dyer, A. Pedersen and P. Porcelli announced that an affirmative answer to the invariant subspace problem would imply that every reductive operator is normal. Their argument, outlined in [1], provides a striking application of direct integral theory. Moreover, this method leads to a general decomposition theory for reductive algebras which in turn illuminates the close relationship between the transitive and reductive algebra problems.