On Rosenthal-Shields' Problem

Authors
Citation
Fang, Lü, On Rosenthal-Shields' Problem, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 8(2), 1992, pp. 189-203
ISSN journal
10009574
Volume
8
Issue
2
Year of publication
1992
Pages
189 - 203
Database
ACNP
SICI code
Abstract
n this paper it will be shown that the spectrum of every unicellular unilateral weighted shift operator on a symmetric Banach space is the singleton set {0}. From this, we give an affirmative answer to Rosenthal-Shields' problem.