The Furuta inequality and an operator equation for linear operators
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Publication:1974550
DOI10.2977/prims/1195143954zbMath0953.47014OpenAlexW1970455015MaRDI QIDQ1974550
Publication date: 7 May 2000
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195143954
Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)
Related Items (2)
On operator order and chaotic operator order for two operators ⋮ The operator equation \(K^p = H^{\frac \delta 2}T^{\frac 1 2}(T^{\frac 1 2}H^{\delta +r}T^{\frac 1 2})^{\frac {p-\delta}{\delta +r}}T^{\frac 1 2}H^{\frac \delta 2}\) and its applications
Cites Work
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- The operator equation \(T(H^{1/n}T)^ n=K\)
- Counterexample to a question on the operator equation \(T(H^{1/n}T)^ n=K\)
- Best possibility of the Furuta inequality
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Shorter Notes: The Operator Equation THT = K
- $A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$
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