Xiaoming Xu

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math.FA2025

Structure and positivity of linear maps preserving covariance under unitary evolution

Yuan Li, Shuaijie Wang, Xiaoming Xu

Let $H$ be a complex finite-dimensional or infinite-dimensional separable Hilbert space, $B (H)$ and $T (H)$ be the Banach spaces of all bounded linear…

math.FA2019

The minus order for idempotents

Yuan Li, Jiajia Niu, Xiaoming Xu

Let $P$ and $Q$ be idempotents on a Hilbert space $H .$ The minus order $P ⪯ Q$ is defined by the equation $P Q = QP = P .$ In this note, we first present some necessary an…