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P.R. Halmos, Problems for Mathematicians Young and Old. Dolciani Mathematical Expositions 12, The Mathematical Association of America 1991.

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On Nonnegativity Of Symmetric Polynomials - Ls Mat (1994)   (2 citations)  (Correct)

....too. Introduction. The nonnegativity of elementary symmetric polynomials (cf. 5] x 1 x 2 : x n ; x 1 x 2 x 1 x 3 : x n Gamma1 x n ; x 1 x 2 Delta Delta Delta x n implies the nonnegativity of all x 1 ; x 2 ; x n in the domain of real numbers, see [3], Problem 10C. For complex numbers this ceases to be valid and thus to get the same conclusion we must assume more. The nonnegativity of the polynomials below in all powers k 1 of the arguments x k 1 x k 2 : x k n ; x k 1 x k 2 x k 1 x k 3 : x k n Gamma1 x k n ....

P.R. Halmos, Problems for Mathematicians Young and Old. Dolciani Mathematical Expositions 12, The Mathematical Association of America 1991.


The Amer. Math. Monthly - Vol No On   (Correct)

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P.R. Halmos, Problems for Mathematicians Young and Old. Dolciani Mathematical Expositions 12, The Mathematical Association of America 1991.


A Sahlqvist Theorem for Distributive Modal Logic - Gehrke, Nagahashi, Venema (2002)   (Correct)

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Halmos, P. and Givant, S., Logic as algebra, The Dolciani Mathematical Expositions 21, Mathematical Association of America, Washington, DC, 1998.

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