| P.R. Halmos, Problems for Mathematicians Young and Old. Dolciani Mathematical Expositions 12, The Mathematical Association of America 1991. |
....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.
No context found.
P.R. Halmos, Problems for Mathematicians Young and Old. Dolciani Mathematical Expositions 12, The Mathematical Association of America 1991.
No context found.
Halmos, P. and Givant, S., Logic as algebra, The Dolciani Mathematical Expositions 21, Mathematical Association of America, Washington, DC, 1998.
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