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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some general local variational principles
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by Paul Binding and Qiang Ye PDF
Proc. Amer. Math. Soc. 114 (1992), 107-114 Request permission

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.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 107-114
  • MSC: Primary 47A75; Secondary 47A10, 47A56, 49R05
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1072084-7
  • MathSciNet review: 1072084