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 |
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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