Shihai Yang

collaborators

3 papers

math.FA2026

Power quasinormal operators and the root problem

Jing-Bin Zhou, Shihai Yang

In this paper, we construct an $n$ -power quasinormal operator $T$ such that $T^{n}$ is not quasinormal for some positive integer $n$ , thereby providing a counterexample to \cite[Lemm…

math.FA2026

Power mean transforms of operators

Jing-Bin Zhou, Shihai Yang

In this paper, we introduce the power mean transform $P_{λ} (T)$ of an operator $T$ on a Hilbert space, which is a convex combination of some classical operator transforms such as the…

math.FA2025

Mean transforms of unbounded weighted composition operator pairs

Jing-Bin Zhou, Shihai Yang

In this paper, we first characterize the polar decomposition of unbounded weighted composition operator pairs $C_{ϕ, ω}$ in an $L^{2}$ -space. Based on this characterization,…