Author

Bing Yan

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Preprint Aug 2026

Isometries of Haagerup--Schultz algebras

We establish a version of the classical results concerning descriptions of isometries on $C^*$-algebras and noncommutative $L_p$-spaces due to Kadison (1951) and Yeadon (1981) in the setting of Haagerup--Schultz algebras. Precisely, we show that (not necessarily surjective) isometries on such algebras are necessarily i...

Jing-Hao Huang, K. Kudaybergenov, F. Sukochev et al. · 1 citation

Preprint Aug 2026

Isometries on algebras of locally measurable operators

Let $LS(\mathcal{M})$ be the algebra of locally measurable operators affiliated with a von Neumann algebra $\mathcal{M}$, equipped with an $F$-norm defined via a dimension function and a probability measure. We prove that every bijective linear isometry between $LS(\mathcal{M})$ admits a canonical representation of the...

Jing-Hao Huang, K. Kudaybergenov, Bing Yan · 0 citations