A NOTE ON HYPERCYCLIC OPERATORS ON THE SPACE ON ENTIRE SEQUENCES

Authors
MATHEW V
Citation
V. Mathew, A NOTE ON HYPERCYCLIC OPERATORS ON THE SPACE ON ENTIRE SEQUENCES, Indian Journal of Pure and Applied Mathematics, 25(11), 1994, pp. 1181-1184
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
25
Issue
11
Year of publication
1994
Pages
1181 - 1184
Database
ISI
SICI code
0019-5588(1994)25:11<1181:ANOHOO>2.0.ZU;2-A
Abstract
In this short paper, the hypercyclicity (density of an orbit) of certa in weighted backward shift operators on the space of entire sequences is proved. Our result generalizes MacLane's Theorem, which asserts the hypercyclicity of differentiation operator, acting on the space of en tire functions.