Abstract
In this paper, we prove some inequalities for bounded positive operators on quaternionic Hilbert spaces. We follow the Kantorovich inequalities in operators inequalities in case of complex Hilbert spaces and obtain similar inequalities in the quaternionic setting. The results are applied to some operator version of Hölder-McCarthy inequalities and its reverse for positive quaternionic operators.
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The authors thank the reviewers for the insightful suggestions which have helped to improve the paper. The research of the second author is supported by partly by University of Delhi.
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Dharmarha, P., Ramkishan Kantorovich inequality for positive operators on quaternionic Hilbert spaces. J Anal 32, 993–1007 (2024). https://doi.org/10.1007/s41478-023-00664-6
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DOI: https://doi.org/10.1007/s41478-023-00664-6