Characterizations of the Reflection Operators

Characterizations of the Reflection Operators

An operator P is said to be reflective if P ∗ = P and P 2 = I . In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair ( P ,  Q ). Some related properties of reflection operator pair ( P ,  Q ) are given.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2020-05, Vol.43 (3), p.2799-2816
Hauptverfasser: Liang, Wenting, Deng, Chunyuan
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Matrix representation
Operators
Reflection
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:An operator P is said to be reflective if P ∗ = P and P 2 = I . In this paper, we study the spectral properties of reflection operators and obtain a matrix representation of the reflection operator pair ( P ,  Q ). Some related properties of reflection operator pair ( P ,  Q ) are given.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00838-1