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A definiteness result for determinantal operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 1032)

Keywords

  • Hilbert Space
  • Tensor Product Space
  • Comparison Cone
  • Determinantal Operator
  • Multiparameter Problem

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References

  1. F.V. Atkinson, Multiparameter Spectral Theory, vol. 1, Academic Press, 1972.

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  2. A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, 1979.

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  3. P.A. Binding, Another positivity result for determinantal operators, Proc. Roy. Soc. Edin., 86A (1980), 333–337.

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  4. P.A. Binding, Multiparameter definiteness conditions, Proc. Roy. Soc. Edin., 89A (1981), 319–332.

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  5. P.A. Binding, Multiparameter variational principles, SIAM J. Math. Anal., to appear.

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  6. P.A. Binding, P.J. Browne, A variational approach to multiparameter eigenvalue problems in Hilbert space, SIAM J. Math. Anal., 9 (1978), 1054–1067.

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  7. P.A. Binding, P.J. Browne, Positivity results for determinantal operators, Proc. Roy. Soc. Edin., 81A (1978), 267–271.

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  8. P.A. Binding, P.J. Browne, Comparison cones for multiparameter eigenvalue problems, J. Math. Anal. Appl. 77 (1980), 132–149.

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  9. R.T. Rockafellar, Convex Analysis, Princeton U. Press, 1970.

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Dedicated to Professor F.V. Atkinson

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© 1983 Springer-Verlag

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Binding, P., Browne, P.J. (1983). A definiteness result for determinantal operators. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076791

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  • DOI: https://doi.org/10.1007/BFb0076791

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12702-4

  • Online ISBN: 978-3-540-38689-6

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