SUPERSTABLE OPERATORS ON BANACH-SPACES

Authors
NAGEL R RABIGER F
Citation
R. Nagel et F. Rabiger, SUPERSTABLE OPERATORS ON BANACH-SPACES, Israel Journal of Mathematics, 81(1-2), 1993, pp. 213-226
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
81
Issue
1-2
Year of publication
1993
Pages
213 - 226
Database
ISI
SICI code
0021-2172(1993)81:1-2<213:SOOB>2.0.ZU;2-G
Abstract
It has been shown by W. Arendt - C.J.K. Batty and Yu.I. Lyubich -V.Q. Phong that the powers of a linear contraction on a reflexive Banach sp ace converge strongly to zero if the boundary spectrum is countable an d contains no eigenvalues. In this paper we characterize the countabil ity of the boundary spectrum through a stronger convergence property i n terms of ultrapower extensions.