vol11_pp180-191. 169KB Jun 04 2011 12:05:51 AM
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Suppose that Corollary 4.1 holds true, and let A and B be finite non-empty subsets of an abelian group.. The following immediate corollary of Conjecture 4.1, as we will see shortly,
• Section 4 contains several examples of sufficient conditions for the invertibility of LCM and reciprocal LCM/GCD matrices on S , culminating in an example that includes many of
The first result on linear preservers is due to Frobenius [1] who studied linear transformations on matrix algebras preserving the determinant.. We study determinant preservers on
Thus, we need only consider those cases when the second and third rows are of one of the first 20 types listed on Table 1 that is, for each pair of these 20 types we need to study
Conversely, if we color all edges of an n -simplex by three colors red, blue and white in such a way that the red edges connect all vertices, then there exists such deformation of
In this paper, the problem of constructing a real symmetric doubly arrow matrix A from two special kinds of spectral information is considered.. The first kind is the minimal
Remark 24 Recall that to prove Proposition 8, we used Proposition 1 to establish the fact that if there is a coalescent process satisfying conditions B1 and B2 of Theorem 2, then
(6) The proof of this result relies heavily on particular properties of the stable driving process of index 1 < α < 2; a result for case 0 < α < 1 under very weak
