Results 11 to 20 of about 57 (39)
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
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An invariant for certain operator algebras. [PDF]
Proc Natl Acad Sci U S A, 1974 Carey RW, Pincus JD.
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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
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Mosaic and Principal Functions of log-hyponormal Operators
Integral Equations and Operator Theory, 2004\textit{D. Xia} [``Spectral theory of hyponormal operators'' (Oper. Theory, Adv. Appl. 10, Birkhäuser Verlag, Basel) (1983; Zbl 0523.47012)] studied the mosaic and the principal function of semi-hyponormal operators with equal defect and nullity. A bounded linear operator \(T\) defined on a complex Hilbert space \(\mathcal{H}\) is said to be log ...
Takeaki Yamazaki +2 more
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Isolated point of spectrum ofP-hyponormal, log-hyponormal operators
Integral Equations and Operator Theory, 2002A 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 ...
Chō, Muneo, Tanahashi, Kôtarô
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