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
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description 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.
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subjects Algebra
Analysis
Applications of Mathematics
Geometry
Hilbert space
Linear operators
Mathematics
Mathematics and Statistics
Operators (mathematics)
Statistics
title Quaternionic Davis–Wielandt Shell in a Right Quaternionic Hilbert Space
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