Year: 2026
Type: preprint
Abstract: Let $H$ be a complex Hilbert space with $\dim H\ge 2$. We characterize the nonzero additive maps on $\mathcal{B}(H)$ and on its self-adjoint part $\mathcal{B}_s(H)$ that preserve mutual strong numerical-radius orthogonality in one direction, assuming surjectivity only in infinite dimension. These maps are precisely those of the form $A\mapsto cUAU^*$, where $U$ is unitary or antiunitary, and $c$ is a nonzero complex scalar for $\mathcal{B}(H)$ and a nonzero real scalar for $\mathcal{B}_s(H)$.
Source: arXiv (Cornell University)
Authors: Tian, Yulong, Xu, Jinli
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224769129