vol9_pp32-41. 149KB Jun 04 2011 12:06:17 AM
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This follows by (5.3.ii) from what we have just said.. In the last column, we list the upper.. vanishing modulo a prime) of sums of roots of unity has been studied extensively...
We emphasize that this paper is intended as a starting point for studying the numerical range of operators on an indenite inner product space using the theory of the joint
To avoid infinite eigenvalues, we restrict ourselves to matrix polynomials with nonsingular leading coefficients.. The case of singular leading coefficients and infinite
and remarks about the polynomial numerical hulls of order k of normal matrices are given by a new concept “k th roots of a convex set” in section
Lemma 2.2 follows from [11, Theorem 1] (or see [12, Theorem 3.1]), in which the problem of classifying systems of forms and linear mappings over a field of characteristic not 2
In this note, we generalize the explicit formulae in [5] for the polar factors of nonsingular real square matrices of order 2, and obtain explicit formulae for polar factors of n − by
A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there
The proof of this lemma would follow by the same arguments as the proof of Lemma 3.1 of [5], applying the criterion for absolute continuity of the supremum of a Gaussian
