Skip to main content
Article
Preservation of the Range under Perturbations of an Operator
Proceedings of the American Mathematical Society (1997)
  • Branko Ćurgus, Western Washington University
  • Branko Najman
Abstract

A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of additive perturbations which preserve regularity of the critical point of a positive operator 0 in a Krein space.

Keywords
  • Operator range,
  • Krein space,
  • Definitizable operator,
  • Critical point
Disciplines
Publication Date
1997
Publisher Statement
© Copyright 1997 American Mathematical Society DOI: http://dx.doi.org/10.1090/S0002-9939-97-03840-9
Citation Information
Branko Ćurgus and Branko Najman. "Preservation of the Range under Perturbations of an Operator" Proceedings of the American Mathematical Society Vol. 125 (1997)
Available at: http://works.bepress.com/branko_curgus/45/