Results 11 to 20 of about 60 (41)
ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS [PDF]
Glasgow Mathematical Journal, 2004 A bounded linear operator \(T\) defined on a infinite-dimensional complex Hilbert space \(\mathcal{H}\) is said to be {log-hyponormal} if and only if \(T\) is invertible and satisfies \(\log (T^*T)\geq \log (TT^*)\). The authors prove that if a restriction \(T_1\) of a log-hyponormal operator \(T\) to an invariant space is invertible, then \(T_1\) is ...
Jeon, I. H., Tanahashi, K., Uchiyama, A.
+22 more sources
TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS [PDF]
Glasgow Mathematical Journal, 2004 A bounded linear operator \(T\) defined on a complex Hilbert space \(\mathcal{H}\) is said to be {log-hyponormal} if \(T\) is invertible and satisfies \(\log (T^*T)\geq \log (TT^*)\). Let \(T=U| T| \) be the polar decomposition of a bounded operator \(T\) and for \(s,t>0\) let \(\widetilde{T}_{s,t}=| T| ^sU| T| ^t\) be the Aluthge transform of \(T\). \(
Tanahashi, Kôtarô, Chō, Muneo
openaire +2 more sources
Fuglede-Putnam's theorem for \boldmath p-hyponormal or \boldmath \rm{log}-hyponormal operators [PDF]
Glasgow Mathematical Journal, 2002 Let T be p-hyponormal or \rm{log}-hyponormal on a Hilbert space H . Then we have XT=T^*X whenever XT^*=TX for some X \in \scriptstyle{B}(\scriptstyle{H}). This is an extension of Patel's result. Also for p-hyponormal or \rm{log}-hyponormal T^*, dominant S and any X \in \scriptstyle{B}(\scriptstyle{H}) such that XT=SX, we have XT^*=S^*T.
Atsushi Uchiyama, Kôtarô Tanahashi
openaire +1 more source
On powers of -hyponormal and log-hyponormal operators
Journal of Inequalities and Applications, 2000 A bounded linear operator \(T\) on a Hilbert space \({\mathcal H}\) is said to be \(p\)-hyponormal for \(p>0\) if \((T^* T)^p\geq (TT^*)^p\) and \(T\) is said to be log-hyponormal if \(T\) is invertible and \(\log T^*T\geq \log TT^*\). In this paper, the authors give some inequalities between the powers of \(p\)-hyponormal operators and also log ...
Furuta Takayuki, Yanagida Masahiro
openaire +3 more sources
INEQUALITIES FOR SEMIBOUNDED OPERATORS AND LOG-HYPONORMAL OPERATORS (Development of Operator Theory and Problems)openaire
ON SPECTRAL PROPERTIES OF LOG-HYPONORMAL OPERATORS (Operator Inequalities and Related Area)
ON SPECTRAL PROPERTIES OF LOG-HYPONORMAL OPERATORS (Operator Inequalities and Related Area)openaire
AN APPLICATION OF ALUTHGE TRANSFORM TO PUTNAM INEQUALITY FOR LOG-HYPONORMAL OPERATORS (Operator Inequalities and related topics)openaire
On powers of class ${\rm{A}}(k)$ operators including $p$-hyponormal and log-hyponormal operators (Operator Inequalities and Related Area)openaire
A subclass of paranormal including class of log-hyponormal and several related classes (Operator Inequalities and related topics)openaire