Hypercyclic operators with an infinite dimensional closed subspace of periodic points.

Sophie Grivaux

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 2, page 383-390
  • ISSN: 1139-1138

Abstract

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Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.

How to cite

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Grivaux, Sophie. "Hypercyclic operators with an infinite dimensional closed subspace of periodic points.." Revista Matemática Complutense 16.2 (2003): 383-390. <http://eudml.org/doc/44503>.

@article{Grivaux2003,
abstract = {Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.},
author = {Grivaux, Sophie},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Banach; Operadores lineales; Sistemas caóticos; Operadores hipercíclicos; separable Banach spaces; hypercyclic vectors; hypercyclic operators; chaotic operators},
language = {eng},
number = {2},
pages = {383-390},
title = {Hypercyclic operators with an infinite dimensional closed subspace of periodic points.},
url = {http://eudml.org/doc/44503},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Grivaux, Sophie
TI - Hypercyclic operators with an infinite dimensional closed subspace of periodic points.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 2
SP - 383
EP - 390
AB - Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.
LA - eng
KW - Espacios de Banach; Operadores lineales; Sistemas caóticos; Operadores hipercíclicos; separable Banach spaces; hypercyclic vectors; hypercyclic operators; chaotic operators
UR - http://eudml.org/doc/44503
ER -

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