References
N. Dunford & J.T. Schwartz, Linear Operators, I and II, Interscience Publishers, 1967.
S. Friedland, Extremal eigenvalue problems for convex sets of symmetric matrices and operators, Israel J. Math. 15, 311–331 (1973).
S. Friedland, Inverse eigenvalue problems, Linear Algebra Appl. 17, 15–51 (1977).
M.G. Krein, On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability, Transi. Amer. Math. Soc., Ser. 2, 1, 163–187 (1955).
P. Nowosad, Characterization of extremal eigenvalues for certain differential operators, Tech. Report M.R.C., Univ. of Wisconsin, 1970.
G. Pólya & M. Schiffer, Convexity of functionals by transplantation, J. Analyse Math. 3, 245–345 (1953/54).
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Communicated by M. M. Schiffer
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Friedland, S. Extremal eigenvalue problems defined for certain classes of functions. Arch. Rational Mech. Anal. 67, 73–81 (1977). https://doi.org/10.1007/BF00280828
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DOI: https://doi.org/10.1007/BF00280828