Results 21 to 30 of about 60 (41)

TENSOR PRODUCTS OF LOG-HYPONORMAL OPERATORS [PDF]

Bulletin of the Korean Mathematical Society, 2005
Let \(A\) and \(B\) be invertible operators on a Hilbert space. The author proves that the tensor product \(A \otimes B\) of \(A\) and \(B\) is log-hyponormal if and only if \(A\) and \(B\) are both log-hyponormal. Tensor products of \(\omega\)-hyponormal and \(p\)-quasihyponormal operators are also studied.
exaly   +2 more sources

Isolated point of spectrum ofP-hyponormal, log-hyponormal operators

Integral Equations and Operator Theory, 2002
A bounded linear Hilbert space operator \(T\) is said to be \(p\)-hyponormal \((p>0)\) if \((TT^*)^p\leq(T^*T)^p\), and log-hyponormal if \(T\) is invertible and \(\log(TT^*)\leq\log(T^*T)\). \textit{J. G. Stampfli} [Trans. Am. Math. Soc. 117, 469--476 (1965; Zbl 0139.31201)] proved the following {Theorem: Let \(\lambda_0\) be an isolated point of the ...
Muneo Cho, Tanahashi Kotaro, Cho Muneo   +2 more
exaly   +2 more sources

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  

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

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

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

SUT Journal of Mathematics, 1999
Takeaki Yamazaki
exaly  

Mosaic and trace formulae of log-hyponormal operators

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

On log-hyponormal operators

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

p -Hyponormal Operators and Quasisimilarity

Integral Equations and Operator Theory, 2004
B P Duggal, B P Duggal
exaly