Keywords
- Hilbert Space
- Tensor Product Space
- Comparison Cone
- Determinantal Operator
- Multiparameter Problem
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References
F.V. Atkinson, Multiparameter Spectral Theory, vol. 1, Academic Press, 1972.
A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, 1979.
P.A. Binding, Another positivity result for determinantal operators, Proc. Roy. Soc. Edin., 86A (1980), 333–337.
P.A. Binding, Multiparameter definiteness conditions, Proc. Roy. Soc. Edin., 89A (1981), 319–332.
P.A. Binding, Multiparameter variational principles, SIAM J. Math. Anal., to appear.
P.A. Binding, P.J. Browne, A variational approach to multiparameter eigenvalue problems in Hilbert space, SIAM J. Math. Anal., 9 (1978), 1054–1067.
P.A. Binding, P.J. Browne, Positivity results for determinantal operators, Proc. Roy. Soc. Edin., 81A (1978), 267–271.
P.A. Binding, P.J. Browne, Comparison cones for multiparameter eigenvalue problems, J. Math. Anal. Appl. 77 (1980), 132–149.
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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