Results 21 to 30 of about 57 (39)

Inequalities for semibounded operators and their applications to log-hyponormal operators

2001
Let H, K be selfadjoint operators bounded above. We will show that if H ≥ K, then for 0 ≤ r, 0 ≤ s ≤ t $${({e^{{\tfrac{r}{2}K}}}{e^{{tH}}}{e^{{\tfrac{r}{2}K}}})^{{\tfrac{{s + r}}{{t + r}}}}} \geqslant {e^{{\tfrac{r}{2}K}}}{e^{{sH}}}{e^{{\tfrac{r}{2}K}}},{e^{{\tfrac{r}{2}H}}}{e^{{sK}}}{e^{{\tfrac{r}{2}H}}} \geqslant {({e^{{\tfrac{r}{2}H}}}{e^{{tK ...
openaire   +1 more source

Singular integral models for log-hyponormal operators and the Riemann-Hilbert problem.

2001
An operator \(T\in B({\mathcal H})\) (where \(B({\mathcal H})\) is the algebra of all bounded linear operators on a complex separable Hilbert space \({\mathcal H})\) is called log-hyponormal if it is invertible and \(\log(T^* T)\geq\log(TT^*)\). It is always assumed that \(\log| T|\) is positive.
Chō, Muneo, Huruya, Tadasi, Itoh, Masuo
openaire   +2 more sources

Putnam?s Inequality for log-Hyponormal Operators

Integral Equations and Operator Theory, 2004
Tanahashi Kotaro, Kotaro Tanahashi
exaly  

Extensions of the results on ρ-hyponormal and log-hyponormal operators by Aluthge and Wang

SUT Journal of Mathematics, 1999
Takeaki Yamazaki
exaly  

Structure on Powers of p-Hyponormal and log-Hyponormal Operators

Integral Equations and Operator Theory, 2007
Jiangtao Yuan, Gao Zongsheng
exaly  

Mosaic and trace formulae of log-hyponormal operators

Journal of the Mathematical Society of Japan, 2003
Muneo Cho, Tadasi Huruya
exaly  

An elementary operator with log-hyponormal, p-hyponormal entries

Linear Algebra and Its Applications, 2008
B P Duggal
exaly  

On log-hyponormal operators

Integral Equations and Operator Theory, 1999
Tanahashi Kotaro, Kotaro Tanahashi
exaly  

The analytic model of a hyponormal operator with rank one self-commutator

Integral Equations and Operator Theory, 1984
Daoxing Xia, Jingbo Xia, Joel D Pincus
exaly  

Powers of an invertible ω-hyponormal operator

Applied Mathematics, 2004
Yang Changsen, Changsen Yang
exaly