Pingping Zhang

collaborators

3 papers

math.FA2016

Weak log majorization and determinantal inequalities

Tin-Yau Tam, Pingping Zhang

Denote by $¶_{n}$ the set of $n \times n$ positive definite matrices. Let $D = D_{1} \oplus \dots \oplus D_{k}$ , where $D_{1} \in ¶_{n_{1}}, \dots, D_{k} \in ¶_{n_{k}}$ with $n_{1} + \dots + n_{k} = n$ . P…

math.FA2016

An extension of the Pólya--Szegö operator inequality

D. T. Hoa, M. S. Moslehian, C. Conde +1

We extend an operator Pólya--Szegö type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pečarić meth…

math.FA2015

Remarks on an operator Wielandt inequality

Pingping Zhang

Let $A$ be a positive operator on a Hilbert space $H$ with $0 < m \leq A \leq M$ and $X$ and $Y$ are two isometries on $H$ such that $X^{*} Y = 0$ . For every 2-positiv…