Zobrazeno 1 - 10
of 373
pro vyhledávání: '"Rodman, Leiba"'
Publikováno v:
Journal of Mathematical Physics 57 (2016) 015204
We study the continuity of an abstract generalization of the maximum-entropy inference - a maximizer. It is defined as a right-inverse of a linear map restricted to a convex body which uniquely maximizes on each fiber of the linear map a continuous f
Externí odkaz:
http://arxiv.org/abs/1502.02018
Conditions are established under which Fredholmness, Coburn's property and one- or two-sided invertibility are shared by a Toeplitz operator with matrix symbol $G$ and the Toeplitz operator with scalar symbol $\det G$. These results are based on one-
Externí odkaz:
http://arxiv.org/abs/1403.6231
Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 matrices. In the latter case, it is proved that a 4-by-4 unitar
Externí odkaz:
http://arxiv.org/abs/1107.3070
It is proved that for certain algebras of continuous functions on compact abelian groups, the set of factorable matrix functions with entries in the algebra is not dense in the group of invertible matrix functions with entries in the algebra, assumin
Externí odkaz:
http://arxiv.org/abs/1103.0336
The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2x2 matrices (with no additional restrictions) and for families of simultaneously diagonalizable matrices of a
Externí odkaz:
http://arxiv.org/abs/0903.0444
Autor:
Rodman, Leiba, Spitkovsky, Ilya M.
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the essential numerical range. The latter is described quantitatively, and based on that sufficient conditions are established
Externí odkaz:
http://arxiv.org/abs/math/0602318
Autor:
Gurvits, Leonid, Rodman, Leiba
It is proved that the roots of combinations of matrix polynomials with real roots can be recast as eigenvalues of combinations of real symmetric matrices, under certain hypotheses. The proof is based on recent solution of the Lax conjecture. Several
Externí odkaz:
http://arxiv.org/abs/math/0406419
Publikováno v:
Proceedings of the American Mathematical Society, 2002 May 01. 130(5), 1365-1370.
Externí odkaz:
https://www.jstor.org/stable/2699594
Autor:
Rodman, Leiba, Zobin, Nahum
Publikováno v:
Proceedings of the American Mathematical Society, 2001 Oct 01. 129(10), 2981-2986.
Externí odkaz:
https://www.jstor.org/stable/2668833
Publikováno v:
Proceedings of the American Mathematical Society, 1998 Dec 01. 126(12), 3607-3617.
Externí odkaz:
https://www.jstor.org/stable/118970