Yuanhang Zhang

collaborators

Showing math.FAShow all

3 papers · 1 filter

math.FA2026

The Ulam--Kaplansky problem in operator algebras

Chunlan Jiang, Minghui Ma, Rui Shi +1

The Ulam--Kaplansky problem up to similarity in operator algebras asks whether $A \oplus A \sim B \oplus B$ implies $A \sim B$ . We construct block-diagonal compact operators for which…

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…