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PreprintCC BY 4.0arXiv

Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle

Abstract

We show that the Buzano-Dragomir inequality holds for quaternionic Hilbert spaces. Using this generalization, we derive the Dragomir inequality for the quaternionic numerical radius and Deutsch entropic uncertainty principle for quaternionic Hilbert spaces.

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BibTeX
@misc{krishna2026quaternionic,
  title = {{Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle}},
  author = {K. Mahesh Krishna},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35881},
  eprint = {2610.35881},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35881},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle
AU  - K. Mahesh Krishna
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.35881
UR  - https://arxiv.org/abs/2610.35881
AB  - We show that the Buzano-Dragomir inequality holds for quaternionic Hilbert spaces. Using this generalization, we derive the Dragomir inequality for the quaternionic numerical radius and Deutsch entropic uncertainty principle for quaternionic Hilbert spaces.
ER  -