Abstract
Let A be an Archimedean, uniformly complete, semiprime f-algebra and F(X1…, Xn) ∊ R+[Xu…, Xn] a homogeneous polynomial of degree p (p ∊ N). It is shown that (F(u1,…, un))1/p exists in A+ for all u1,…un∊ A+.
Original language | English |
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Pages (from-to) | 110-116 |
Number of pages | 7 |
Journal | Journal of the Australian Mathematical Society |
Volume | 37 |
Issue number | 1 |
DOIs | |
Publication status | Published - Aug 1984 |
Externally published | Yes |