Proceedings of the American Mathematical Society

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

 

 

Some general local variational principles


Authors: Paul Binding and Qiang Ye
Journal: Proc. Amer. Math. Soc. 114 (1992), 107-114
MSC: Primary 47A75; Secondary 47A10, 47A56, 49R05
MathSciNet review: 1072084
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1072084-7
Keywords: Minimax principle, selfadjoint pencils
Article copyright: © Copyright 1992 American Mathematical Society