Disjoint hypercyclic operators

Luis Bernal-González

Studia Mathematica (2007)

  • Volume: 182, Issue: 2, page 113-131
  • ISSN: 0039-3223

Abstract

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We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.

How to cite

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Luis Bernal-González. "Disjoint hypercyclic operators." Studia Mathematica 182.2 (2007): 113-131. <http://eudml.org/doc/284682>.

@article{LuisBernal2007,
abstract = {We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.},
author = {Luis Bernal-González},
journal = {Studia Mathematica},
keywords = {hypercyclic operator; hypercyclic sequence; disjoint hypercyclic operators; disjoint hypercyclic sequences of operators; composition operator; differential operator; simultaneous approximation; supermixing operators},
language = {eng},
number = {2},
pages = {113-131},
title = {Disjoint hypercyclic operators},
url = {http://eudml.org/doc/284682},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Luis Bernal-González
TI - Disjoint hypercyclic operators
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 2
SP - 113
EP - 131
AB - We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
LA - eng
KW - hypercyclic operator; hypercyclic sequence; disjoint hypercyclic operators; disjoint hypercyclic sequences of operators; composition operator; differential operator; simultaneous approximation; supermixing operators
UR - http://eudml.org/doc/284682
ER -

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