Abstract
In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.
Original language | English |
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Pages (from-to) | 2025-2038 |
Number of pages | 14 |
Journal | Mediterranean Journal of Mathematics |
Volume | 13 |
Issue number | 4 |
DOIs | |
State | Published - 1 Aug 2016 |
Bibliographical note
Publisher Copyright:© 2015, Springer Basel.
Keywords
- Decomposable
- Single-valued extension property
- m-Complex symmetric operator