Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615008 | Journal of Mathematical Analysis and Applications | 2015 | 18 Pages |
Abstract
We consider the Spectral radius algebra associated with a weighted shift of finite multiplicity. When the weighted shift is injective, we describe the structure of this algebra. This leads to a necessary and sufficient condition for there to exist a nontrivial invariant subspace for the Spectral radius algebra. This result is then generalized to noninjective weighted shifts of finite multiplicity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Daniel Sievewright,