Ideals of hypercyclic operators that factor through $\ell ^p$

DOI10.1090/PROC/15679zbMath1492.47013arXiv2101.04621OpenAlexW3170731218MaRDI QIDQ5020708

Asuman Güven Aksoy, Yunied Puig

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04621

zbMATH Keywords

hypercyclic operatorweighted shiftoperator ideal

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• A characterization of compact linear mappings
• Factoring compact operators
• Spaces that admit hypercyclic operators with hypercyclic adjoints
• Hypercyclic Weighted Shifts
• The ideal of $p$-compact operators and its maximal hull
• On a theorem of Terzioğlu
• Produits tensoriels topologiques et espaces nucléaires

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