Quaternionic Davis–Wielandt Shell in a Right Quaternionic Hilbert Space

We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space. The relations between the geometric properties of the quaternionic Davis–Wielandt shells and the algebraic properties of quaternionic operators are obtai...

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Veröffentlicht in:	Ukrainian mathematical journal 2023-11, Vol.75 (6), p.897-907
Hauptverfasser:	Jeribi, Aref, Mahfoudhi, Kamel
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Geometry Hilbert space Linear operators Mathematics Mathematics and Statistics Operators (mathematics) Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space. The relations between the geometric properties of the quaternionic Davis–Wielandt shells and the algebraic properties of quaternionic operators are obtained.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-023-02235-1