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Linear operators with wild dynamics

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Publication:2884431
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DOI10.1090/S0002-9939-2011-11082-7zbMath1244.47001arXiv1204.2044MaRDI QIDQ2884431

Jean-Matthieu Augé

Publication date: 29 May 2012

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

Full work available at URL: https://arxiv.org/abs/1204.2044


zbMATH Keywords

compact operatorshypercyclic operatorsorbits of operatorsspaces with few operators


Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Cyclic vectors, hypercyclic and chaotic operators (47A16)


Related Items (2)

Recurrence and vectors escaping to infinity for Lipschitz operators ⋮ Wild dynamics and asymptotically separated sets



Cites Work

  • Unnamed Item
  • Operator machines on directed graphs
  • The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators
  • The Unconditional Basic Sequence Problem
  • On orbit-reflexive operators
  • On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
  • On Banach spaces with unconditional bases


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