Author

Jinghao Huang

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Preprint Oct 2026

A Counterexample to Two Compactness Conjectures of Brudnyi

We construct a quasi-Banach function lattice $X$ on $\mathbb R$ whose quasi-norm is order continuous and invariant under every translation. Nevertheless, $X$ contains a bounded sequence with common compact support which is equicontinuous in $X$ and has no norm-convergent subsequence. This provides a counterexample to C...

Jing-Hao Huang, Ran Xu · 0 citations

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