Some properties of Furuta type inequalities and applications
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Publication:1724155
DOI10.1155/2014/457367zbMath1472.47015OpenAlexW2132285092WikidataQ59038373 ScholiaQ59038373MaRDI QIDQ1724155
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/457367
Linear operator inequalities (47A63) Equations involving linear operators, with operator unknowns (47A62)
Cites Work
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- Powers of class \(wA(s,t)\) operators associated with generalized Aluthge transformation.
- Aluthge transforms of complex symmetric operators
- An asymmetric Kadison's inequality
- The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\)
- Relations between two inequalities \((B^{\frac r2} A^p B^{\frac r2})^{\frac r{p+r}}\geq B^r\) and \(A^p\geq(A^{\frac p2} B^r A^{\frac p2})^{\frac p{p+r}}\) and their applications
- Extension of the Furuta inequality and Ando-Hiai log-majorization
- A satellite of the grand Furuta inequality and its application
- 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
- Riccati type operator equation and Furuta's question
- Complete form of Furuta inequality
- Furuta Inequality and q-Hyponormal Operators
- $(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero
- Monotonicity of generalized Furuta type functions
- Grand Furuta inequality and its variant
- 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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