Aymen Ammar, Chaimaa Bouchama, Aref Jeribi

Pseudo Ellipsoid Spectrum in a Right Quaternionic Hilbert Space

abstract:
In this research paper, we introduce the concept of pseudo ellipsoid spectrum in a right quaternionic Hilbert space and display some properties of this concept. Furthermore, we give a characterization of the Weyl pseudo ellipsoid spectrum in Hilbert space.

Mathematics Subject Classification: 47B20, 47A75

Key words and phrases: Quaternionic Hilbert space, pseudo ellipsoid spectrum