Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Leo Livshits"'
Publikováno v:
Proceedings of the American Mathematical Society. 149:4083-4097
We study the maximal algebraic degree of principal ortho-compressions of linear operators that constitute spatial matricial numerical ranges of higher order. We demonstrate (amongst other things) that for a (possibly unbounded) operator L L on a Hilb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed08dd7bdf5142a1b4657fdb0f49ed17
https://doi.org/10.1090/proc/15523
https://doi.org/10.1090/proc/15523
Autor:
Leo Livshits, Joshua D. Hews
Publikováno v:
The Electronic Journal of Linear Algebra. 32:423-437
In the present article, the authors continue the line of inquiry started by Cigler and Jerman, who studied the separation of eigenvalues of a matrix under an action of a matrix group. The authors consider groups \Fam{G} of matrices of the form $\left
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9711c04a4605bf445010b2326397e9b3
https://doi.org/10.13001/1081-3810.3479
https://doi.org/10.13001/1081-3810.3479
Publikováno v:
Positivity. 21:61-72
One consequence of the Perron–Frobenius Theorem on indecomposable positive matrices is that whenever an $$n\times n$$ matrix A dominates a non-singular positive matrix, there is an integer k dividing n such that, after a permutation of basis, A is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76ad80ef8a05515587bdeb5285c0b22c
https://doi.org/10.1007/s11117-016-0403-7
https://doi.org/10.1007/s11117-016-0403-7
Publikováno v:
Studia Mathematica. :1-11
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff014b514f9efb73b7fc1aa36353925e
https://doi.org/10.4064/sm8421-3-2016
https://doi.org/10.4064/sm8421-3-2016
Given a complex, separable Hilbert space $\mathcal{H}$, we characterize those operators for which $\| P T (I-P) \| = \| (I-P) T P \|$ for all orthogonal projections $P$ on $\mathcal{H}$. When $\mathcal{H}$ is finite-dimensional, we also obtain a comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30c5b93f9c5ee9f9a736698d427d6c0d
http://arxiv.org/abs/1709.01840
http://arxiv.org/abs/1709.01840
Publikováno v:
Linear and Multilinear Algebra. 63:1216-1241
In this article we verify that ‘Wedderburn’s Principal Theorem’ has a particularly pleasant spatial implementation in the case of cleft subalgebras of the algebra of all linear transformations on a finite-dimensional vector space. Once such a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db3a9876ff9aa7e5610bb790501d2bb9
https://doi.org/10.1080/03081087.2014.925452
https://doi.org/10.1080/03081087.2014.925452
Publikováno v:
Linear Algebra and its Applications. 439:1974-1989
In this article we study a natural weakening – which we refer to as paratransitivity – of the well-known notion of transitivity of an algebra A of linear operators acting on a finite-dimensional vector space V. Given positive integers k and m, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a299b7e74d391c3512859a40bb612258
https://doi.org/10.1016/j.laa.2013.05.028
https://doi.org/10.1016/j.laa.2013.05.028
Publikováno v:
Studia Mathematica. 203:69-77
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9dfab68952ad822ac698c332bf105106
https://doi.org/10.4064/sm203-1-4
https://doi.org/10.4064/sm203-1-4
Publikováno v:
Positivity. 15:411-440
We show that a semigroup of positive matrices (all entries greater than or equal to zero) with binary diagonals (diagonal entries either 0 or 1) is either decomposable (all matrices in the semigroup have a common zero entry) or is similar, via a posi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cdfd00432fd5f7b16f880bc3faf7100
https://doi.org/10.1007/s11117-010-0092-6
https://doi.org/10.1007/s11117-010-0092-6
Publikováno v:
Journal of Functional Analysis. 254:246-266
We prove a semigroup analogue of the Kadison Transitivity Theorem for C ∗ -algebras. Specifically, we show that a closed, homogeneous, self-adjoint, topologically transitive, semigroup of operators acting on a separable Hilbert space is (strictly)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c47909fcbb7cb04fe68608d318dbccca
https://doi.org/10.1016/j.jfa.2007.09.013
https://doi.org/10.1016/j.jfa.2007.09.013