Yuanhang Zhang

collaborators

3 papers

math.FA2026

Kaplansky's second test problem in operator algebras

Chunlan Jiang, Minghui Ma, Rui Shi +1

Kaplansky's second test problem on similarity asks: if $T$ and $S$ are elements in a unital Banach algebra $B$ and $T \oplus T$ is similar to $S \oplus S$ in $\mathbb{M}_2(…

math.FA2025

On products of symmetries acting on Hilbert spaces

Laurent W. Marcoux, Heydar Radjavi, Yuanhang Zhang

Let $H$ be a complex, separable Hilbert space (of finite or infinite dimension), and let $U (H)$ denote the group of unitary operators on $H$ …

math.FA2025

The invariant subspace problem and Rosenblum operators I

Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1

Let $T \in B (H)$ be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of $T$ by analyzing the growth of $∥ T^{n} ∥$ , wh…