Hypercyclic and chaotic weighted shifts
Studia Mathematica, Tome 139 (2000) no. 1, pp. 47-68
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors $(e_n)$ form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.
Keywords:
F-spaces, topological sequence spaces, weighted shift operators, weighted pseudo-shifts, hypercyclic operators, chaotic operators
@article{10_4064_sm_139_1_47_68,
author = {K-G Grosse-Erdmann},
title = {Hypercyclic and chaotic weighted shifts},
journal = {Studia Mathematica},
pages = {47--68},
year = {2000},
volume = {139},
number = {1},
doi = {10.4064/sm-139-1-47-68},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-139-1-47-68/}
}
K-G Grosse-Erdmann. Hypercyclic and chaotic weighted shifts. Studia Mathematica, Tome 139 (2000) no. 1, pp. 47-68. doi: 10.4064/sm-139-1-47-68
Cité par Sources :