PreprintCC BY 4.0arXiv
Disjoint strong transitive operators on Hilbert C*-modules
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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BibTeX
@misc{ri2026disjoint,
title = {{Disjoint strong transitive operators on Hilbert C*-modules}},
author = {Song-Ung Ri and Hyon-Hui Ju},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02281},
eprint = {2609.02281},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02281},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Disjoint strong transitive operators on Hilbert C*-modules
AU - Song-Ung Ri
AU - Hyon-Hui Ju
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02281
UR - https://arxiv.org/abs/2609.02281
AB - 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.
ER -