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Algebrability of the set of hypercyclic vectors for backward shift operators

  • Published:2020-06 Issue: Volume:366 Page:107082
  • ISSN:0001-8708
  • Container-title:Advances in Mathematics
  • language:en
  • Short-container-title:Advances in Mathematics

Author:

Falcó Javier,Grosse-Erdmann Karl-G.

Funder

Fonds De La Recherche Scientifique - FNRS

MINECO and FEDER

Publisher

Elsevier BV

Subject

General Mathematics

Reference11 articles.

1. Lineability: The Search for Linearity in Mathematics;Aron,2016

2. Powers of hypercyclic functions for some classical hypercyclic operators;Aron;Integral Equ. Oper. Theory,2007

3. Hypercyclic algebras;Bayart;J. Funct. Anal.,2019

4. Dynamics of Linear Operators;Bayart,2009

5. Convolution operators supporting hypercyclic algebras;Bès;J. Math. Anal. Appl.,2017

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lineability and unbounded, continuous and integrable functions;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-04-15

2. Growth of hypercyclic entire functions for some non-convolution operators;Concrete Operators;2023-01-01

3. Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-05-21

4. A Few Remarks on Supercyclicity of Non-Archimedean Linear Operators on $$c_0(\mathbb N)$$;p-Adic Numbers, Ultrametric Analysis and Applications;2022-02-04

5. Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean c0(N) Space;Mathematics;2021-11-22
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