Abstract
In this paper, we study various properties of analytic extensions of class A operators. In particular, we show that every analytic extension of a class A operator has a scalar extension. As a corollary, we get that such an operator with rich spectrum has a nontrivial invariant subspace.
| Original language | English |
|---|---|
| Pages (from-to) | 167-182 |
| Number of pages | 16 |
| Journal | Operators and Matrices |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2013 |
Keywords
- Class A operators
- Invariant subspaces
- Subscalar operators
- Weyl's theorem