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On the minimal eigenvalue of a positive definite operator determinant

Published online by Cambridge University Press:  14 November 2011

H. Volkmer
H. Volkmer
Affiliation:
FB6-Mathematik, Universität Essen GHS, Universitätsstr. 3, D-4300 Essen 1, West Germany
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Synopsis

In this paper we study a problem in multilinear algebra which consists of finding small values of a certain quotientμ/α. Here μ is the minimal eigenvalue of a positive definite operator determinant Δ of the type introduced by F. V. Atkinson, and α is the minimum of the quadratic form corresponding to Δ with respect to all decomposable tensors of unit norm. Our results are connected with earlier results of P. Binding.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 3-4 , 1986 , pp. 201 - 208
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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