Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces

Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces

In this paper, we prove some inequalities between quaternionic bounded selfadjoint operators on quaternionic Hilbert spaces. We follow the Mond–Pečaric̀ method in operator inequalities in case of complex Hilbert spaces and obtain the similar inequalities in the quaternionic setting. The results are...

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Veröffentlicht in:Advances in applied Clifford algebras 2020-02, Vol.30 (1), Article 5
Hauptverfasser: Mahdipour, S., Niknam, A., Fashandi, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Hilbert space
Inequalities
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics, Applied
Operators
Physical Sciences
Physics
Physics and Astronomy
Physics, Mathematical
Science & Technology
Theoretical
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Zusammenfassung:In this paper, we prove some inequalities between quaternionic bounded selfadjoint operators on quaternionic Hilbert spaces. We follow the Mond–Pečaric̀ method in operator inequalities in case of complex Hilbert spaces and obtain the similar inequalities in the quaternionic setting. The results are applied to prove some inequalities for positive quaternionic operators.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-019-1032-6