古田孝之 | 弘前大学

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概要

関連著者

著作論文

Equivalence relation between an order preserving operator inequality and related operator functions (Operator Inequalities and related topics)
A subclass of paranormal including class of log-hyponormal and several related classes (Operator Inequalities and related topics)
Generalized operator functions implying order preserving operator inequalities(Inequalities in operator theory and its related topics)
An extension of order preserving operator inequalities(Inequalities in operator theory and its related topics)
Further extension of an order preserving operator inequality and its application (Application of Geometry to Operator Theory)
$A \ge B \ge 0$ ensures $(A^{\frac{r}{2}}A^pA^{\frac{r}{2}})^{\frac{1}{q}} \ge (A^{\frac{r}{2}}B^pA^{\frac{r}{2}})^{\frac{1}{q}}$ for $p \ge 0,q \ge 1,r \ge 0$ with $(1+r)q \ge p+r$ and brief survey of its recent applications (Inequalities on Linear Opera
Concrete examples of operator monotone functions obtained by only applying Lowner-Heinz inequality(Recent Developments in Theory of Operators and Its Applications)
REVERSE INEQUALITIES ASSOCIATED WITH TSALLIS RELATIVE OPERATOR ENTROPY VIA GENERALIZED KANTOROVICH CONSTANT(Recent Developments in Linear Operator Theory and its Applications)
Reverse inequalities involving two relative operator entropies and two relative entropies (Advanced Study of Applied Functional Analysis and Information Sciences)
Logarithmic trace inequalities (Role of Operator Inequalities in Operator Theory)
Generalization of operator type Shannon inequality and its reverse one (Advanced Topics of Information Science and Functional Analysis)
Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators via characterizations of operator concave functions (Recent Topics on Operator inequalities)
Specht ratio &S(1)& can be expressed by generalized Kantorovich constant &K(p)&: &S(1)& = &e^{K^{\prime}(1)}& and its application to operator inequalities associated with A log A (Structure of operators and related current topics)
Some topics on order preserving operator inequalities (Current topics on operator theory and operator inequalities)
LOGARITHMIC ORDER AND DUAL LOGARITHMIC ORDER (Operator Inequalities and Related Area)
Order preserving operator function via the inequality (Applied Functional Analysis)
Characterizations of operators satisfying chaotic order and its applications
$A \ge B \ge 0$ ensures $(B^r A^p B^r)^{1/q} \ge (B^r B^p B^r)^{1/q}$ for $r \ge 0, p \ge 0, q \ge 1$ with (1 + 2r)q $\ge$ p + 2r and its applications(Linear Operators and Inequalities)
ASYMMETRIC VARIATION OF CHOI INEQUALITY FOR POSITIVE LINEAR MAP (Noncommutative Structure in Operator Theory and its Application)
OPERATOR FUNCTIONS ON CHAOTIC ORDER INVOLVING ORDER PRESERVING OPERATOR INEQUALITIES (Structural study of operators via spectra or numerical ranges)
Elementary proofs of Petz-Hasegawa theorem and Hansen results by only using Lowner-Heinz inequality (Research on structures of operators via methods in geometry and probability theory)

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