On the minimal eigenvalue of a positive definite operator determinant
Hans Volkmer · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1986
Synopsis In this paper we study a problem in multilinear algebra which consists of finding small values of a certain quotient μ/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.