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arXiv · 2609.02281

Disjoint strong transitive operators on Hilbert C*-modules

Song-Ung Ri·Hyon-Hui Ju
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Abstract

This paper is about disjoint F-transitive operators on Hilbert C*-modules, where F is a finitely invariant Furstenberg family of subsets of N. We characterize disjoint F-transitivity for generalized bilateral weighted shift operators on the standard Hilbert module over C*-algebra of compact operators on the separable Hilbert space. Then we give a sufficient condition for these operators to be disjoint chaotic and give concrete examples. We also characterize disjoint F-transitivity for generalized translation operators on the non-unitary C*-algebra and provide some applications.

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Song-Ung Ri, Hyon-Hui Ju. 2026-09-02. Disjoint strong transitive operators on Hilbert C*-modules. https://arxiv.org/abs/2609.02281

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