Siyu Liu

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math.FA2025

An algebraic characterization of linearity for additive maps preserving orthogonality

Lei Li, Siyu Liu, Antonio M. Peralta

We study when an additive mapping preserving orthogonality between two complex inner product spaces is automatically complex-linear or conjugate-linear. Concretely, let $H$ and $K$ …

math.FA2024

Additive mappings preserving orthogonality between complex inner product spaces

Lei Li, Siyu Liu, Antonio M. Peralta

Let $H$ and $K$ be two complex inner product spaces with dim $(X) \geq 2$ . We prove that for each non-zero additive mapping $A : H \to K$ with dense image the following statements are…