On some operator inequalities

DOI10.1007/BF01456197zbMath0613.47020OpenAlexW1983427967MaRDI QIDQ5916410

No author found.

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164313

zbMATH Keywords

bounded selfadjoint operatorsgeometric meanoperator inequalityoperator monotone

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60)

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Cites Work

• $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
• Unnamed Item