Some general local variational principles

Paul Binding, Qiang Ye

Research output: Contribution to journalArticlepeer-review

Abstract

Local variational min-sup characterizations are presented for the real spectrum of a selfadjoint operator pencil. Instead of minimizing over all subspaces of fixed codimension as in the classical result, the new characterizations minimize over subspaces that are close to extremal subspaces. In this way, the entire real spectrum, including continuous spectrum, can be characterized.

Original languageEnglish
Pages (from-to)107-114
Number of pages8
JournalProceedings of the American Mathematical Society
Volume114
Issue number1
DOIs
StatePublished - Jan 1992

Keywords

  • Minimax principle
  • Selfadjoint pencils

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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