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Autor:
Harvey, F. Reese, Lawson Jr, H. Blaine
Let ${\mathfrak g}$ be a Garding-Dirichlet operator on the set S(n) of symmetric $n\times n$ matrices. We assume that ${\mathfrak g}$ is $I$-central, that is, $D_I {\mathfrak g} = k I$ for some $k>0$. Then $$ {\mathfrak g}(A)^{1\over N} \ \geq\ {\mat
Externí odkaz:
http://arxiv.org/abs/2407.05408
Autor:
Harvey, F. Reese, Lawson Jr, H. Blaine
The objective of this note is to establish the Determinant Majorization Formula $F(A)^{1\over N} \geq \det(A)^{1\over n}$ for all operators $F$ determined by an invariant Garding-Dirichlet polynomial of degree $N$ on symmetric $n \times n$ matrices.
Externí odkaz:
http://arxiv.org/abs/2207.01729