On commutator of generalized Aluthge transformations and Fuglede-Putnam theorem
From MaRDI portal
Publication:1624066
DOI10.1007/s11117-018-0574-5zbMath1503.47030OpenAlexW2789569425WikidataQ130113480 ScholiaQ130113480MaRDI QIDQ1624066
Mohammad H. M. Rashid, Kôtarô Tanahashi
Publication date: 15 November 2018
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-018-0574-5
Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Local spectral properties of linear operators (47A11)
Related Items (2)
Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\) ⋮ Polar decomposition and characterization of binormal operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An extension of Fuglede-Putnam theorem for \(w\)-hyponormal operators
- Powers of class \(wA(s,t)\) operators associated with generalized Aluthge transformation.
- Norm inequalities for commutators of self-adjoint operators
- Fuglede-Putnam type theorems via the generalized Aluthge transform
- Inequalities for commutators of positive operators
- Inequalities for the Schatten p-Norm. IV
- An inequality for trace ideals
- On log-hyponormal operators
- 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
- Class \(wA(s,t)\) operators and quasisimilarity
- Fuglede-Putnam theorem for \(w\)-hyponormal or \(\mathcal{Y}\) class operators
- \(w\)-hyponormal operators
- Fuglede-Putnam type theorems via the Aluthge transform
- How big can the commutator of two matrices be and how big is it typically?
- On p-hyponormal operators for \(0<p<1\)
- Singular Values of Differences of Positive Semidefinite Matrices
- Fuglede-Putnam's theorem for w-hyponormal operators
- Quasinormality and Fuglede-Putnam theorem for (s, p)-w-hyponormal operators
- $A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$
- An operator inequality
This page was built for publication: On commutator of generalized Aluthge transformations and Fuglede-Putnam theorem
