A ≧B ≧0 Ensures (BA 2 B) 1/2 ≧B 2 -Solution to a Conjecture on Operator Inequalities

DOI10.2307/2322388zbMATH Open0674.47005OpenAlexW2344005647WikidataQ123290627 ScholiaQ123290627MaRDI QIDQ3828549

Takayuki Furuta

Publication date: 1988

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322388

zbMATH Keywords

operator inequalitieshermitian matrixpositive operators in a Hilbert space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Positive matrices and their generalizations; cones of matrices (15B48) Functional calculus for linear operators (47A60)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ A condition under which 𝐵=𝐴=𝑈*𝐵𝑈 follows from 𝐵≤𝐴≤𝑈*𝐵𝑈 ⋮ The upper bound of a reserve Hölder's type operator inequality and its applications.

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