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On Singular Critical Points of Positive Operators in Krein Spaces
Proceedings of the American Mathematical Society (2000)
  • Branko Ćurgus, Western Washington University
  • Aurelian Gheondea
  • Heinz Langer
Abstract

We give an example of a positive operator B in a Krein space with the following properties: the nonzero spectrum of B consists of isolated simple eigenvalues, the norms of the orthogonal spectral projections in the Krein space onto the eigenspaces of B are uniformly bounded and the point ∞ is a singular critical point of B.

Keywords
  • Krein space,
  • Definitizable operator,
  • Critical point
Disciplines
Publication Date
2000
Publisher Statement
© Copyright 2015, American Mathematical Society DOI: http://dx.doi.org/10.1090/S0002-9939-00-05442-3
Citation Information
Branko Ćurgus, Aurelian Gheondea and Heinz Langer. "On Singular Critical Points of Positive Operators in Krein Spaces" Proceedings of the American Mathematical Society Vol. 128 Iss. 9 (2000)
Available at: http://works.bepress.com/branko_curgus/38/