Abstract
In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.
| Original language | English |
|---|---|
| Pages (from-to) | 35-50 |
| Number of pages | 16 |
| Journal | Glasgow Mathematical Journal |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2018 |
Bibliographical note
Publisher Copyright:© 2017 Glasgow Mathematical Journal Trust.