PRESERVATION OF THE RANGE UNDER PERTURBATIONS OF AN OPERATOR

Authors
CURGUS B NAJMAN B
Citation
B. Curgus et B. Najman, PRESERVATION OF THE RANGE UNDER PERTURBATIONS OF AN OPERATOR, Proceedings of the American Mathematical Society, 125(9), 1997, pp. 2627-2631
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
9
Year of publication
1997
Pages
2627 - 2631
Database
ISI
SICI code
0002-9939(1997)125:9<2627:POTRUP>2.0.ZU;2-3
Abstract
A sufficient condition for the stability of the range of a positive op erator in a Hilbert space is given. As a consequence, we get a class o f additive perturbations which preserve regularity of the critical poi nt 0 of a positive operator in a Krein space.