HYPERCYCLICITY IN THE SCATTERING-THEORY FOR LINEAR TRANSPORT-EQUATION

Authors
EMAMIRAD H
Citation
H. Emamirad, HYPERCYCLICITY IN THE SCATTERING-THEORY FOR LINEAR TRANSPORT-EQUATION, Transactions of the American Mathematical Society, 350(9), 1998, pp. 3707-3716
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
350
Issue
9
Year of publication
1998
Pages
3707 - 3716
Database
ISI
SICI code
0002-9947(1998)350:9<3707:HITSFL>2.0.ZU;2-K
Abstract
We show how the hypercyclicity of the transport semigroup can interven e in the scattering theory to characterize the density property of the Lax and Phillips representation theorem and conversely, how the exist ence of the wave operators of the scattering theory can be used for re covering the hypercyclicity of the absorbing transport group in some w eighted L-1 spaces.