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Indicial equivalents of multiparameter definiteness conditions in finite dimensions
Published online by Cambridge University Press: 20 January 2009
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Let Tm, Vmn be Hermitean linear operators on complex Hilbert spaces Hm, m=1…k. A nonzero column vector satisfying
will be called an eigenvalue. This type of problem has been studied extensively by Atkinson [2] from the viewpoint of determinantal operators on the tensor product We shall connect his work with more recent investigations [5,7] of eigenvalue indices based on minimax principles for , which can be viewed as an operator on .
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 3 , October 1984 , pp. 283 - 296
- Copyright
- Copyright © Edinburgh Mathematical Society 1984
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