Quaternionic Davis–Wielandt shell in a right  quaternionic Hilbert space

Aref  Jeribi; Kamel Mahfoudhi

doi:10.37863/umzh.v75i6.7146

Aref Jeribi Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Tunisia
Kamel Mahfoudhi University of Sousse, Institut Supérieur des Sciences Appliquées et de Technologie de Sousse, Tunisia

DOI: https://doi.org/10.37863/umzh.v75i6.7146

Keywords: Quaternions, quaternionic Hilbert space, Numerical range.

Abstract

UDC 517.5

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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