Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Nung-Sing Sze"'
Publikováno v:
Advances in Operator Theory. 5:609-626
Let $$\mathbf{A}= (A_1, \ldots , A_m)$$ , where $$A_1, \ldots , A_m$$ are $$n\times n$$ real matrices. The real joint (p, q)-matricial range of $$\mathbf{A}$$ , $${\varLambda }^{{\mathbb {R}}}_{p,q}(\mathbf{A})$$ , is the set of m-tuple of $$q\times
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0129ee432d8864b2e111edda6aa87dee
https://doi.org/10.1007/s43036-019-00009-w
https://doi.org/10.1007/s43036-019-00009-w
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*-algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*-algebras and called the Cuntz semigroup. In this paper, we study the Cuntz co
Externí odkaz:
https://doaj.org/article/bfd9c415c41f4172b7632b8597cf2fb1
Publikováno v:
Journal of Functional Analysis. 275:2497-2515
Let ${\bf A} = (A_1, \dots, A_m)$ be an $m$-tuple of bounded linear operators acting on a Hilbert space ${\cal H}$. Their joint $(p,q)$-matricial range $\Lambda_{p,q}({\bf A})$ is the collection of $(B_1, \dots, B_m) \in {\bf M}_q^m$, where $I_p\otim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f768f03c9d212e0e6dd1756d7f2e6c03
https://doi.org/10.1016/j.jfa.2018.03.018
https://doi.org/10.1016/j.jfa.2018.03.018
Publikováno v:
Journal of Mathematical Analysis and Applications. 454:716-729
Let ${\mathcal B}(H)$ denote the Banach algebra of all bounded linear operators on a complex Hilbert space $H$ with $\dim H\geq 3$, and let $\mathcal A$ and $\mathcal B$ be subsets of ${\mathcal B}(H)$ which contain all rank one operators. Suppose $F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27af90ab34d89192ba8ca7c96b65e8f2
https://doi.org/10.1016/j.jmaa.2017.04.072
https://doi.org/10.1016/j.jmaa.2017.04.072
Publikováno v:
Linear Algebra and its Applications. 528:17-24
It is known that every complex square matrix with nonnegative determinant is the product of positive semi-definite matrices. There are characterizations of matrices that require two or five positive semi-definite matrices in the product. However, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df788e1d19a84933a3911dbdb687ddc6
https://doi.org/10.1016/j.laa.2015.09.045
https://doi.org/10.1016/j.laa.2015.09.045
Autor:
Nung-Sing Sze, Yiu-Tung Poon, Bei Zeng, Jie Xie, Lijian Zhang, Huichao Xu, Kaimin Zheng, Ping Xu, Aonan Zhang, Ningping Cao
In quantum mechanics, geometry has been demonstrated as a useful tool for inferring non-classical behaviors and exotic properties of quantum systems. One standard approach to illustrate the geometry of quantum systems is to project the quantum state
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32d03a9a34de940a8d9a78eef30f2178
Publikováno v:
Linear Algebra and its Applications. 470:51-69
We study k-positive maps on operators. We obtain a new criterion on k-positivity in terms of the k-numerical range, and use it to improve and refine some earlier results on k-positive maps related to the study of quantum information science. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91040754df6d9b78db09787f2bd68c9e
https://doi.org/10.1016/j.laa.2014.02.008
https://doi.org/10.1016/j.laa.2014.02.008
Publikováno v:
Linear Algebra and its Applications. 447:2-25
Let F m × n be the set of m × n matrices over a field F . Consider a graph G = ( F m × n , ∼ ) with F m × n as the vertex set such that two vertices A , B ∈ F m × n are adjacent if rank ( A − B ) = 1 . We study graph properties of G when F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce68050b2bccc0215e453df8a05117d0
https://doi.org/10.1016/j.laa.2013.12.030
https://doi.org/10.1016/j.laa.2013.12.030
Publikováno v:
Abstract and Applied Analysis. 2014:1-4
The Cuntz comparison, introduced by Cuntz in early 1978, associates eachC*-algebra with an abelian semigroup which is an invariant for the classification of the nuclearC*-algebras and called the Cuntz semigroup. In this paper, we study the Cuntz comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32f2ddf6a212690da8c59f5bf79c312c
https://doi.org/10.1155/2014/623520
https://doi.org/10.1155/2014/623520
Publikováno v:
Journal of Mathematical Analysis and Applications. 407:183-189
Let m , n ≥ 2 be positive integers. Denote by M m the set of m × m complex matrices and by w ( X ) the numerical radius of a square matrix X . Motivated by the study of operations on bipartite systems of quantum states, we show that a linear map
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f081518f7139359970676b51382c2bd
https://doi.org/10.1016/j.jmaa.2013.05.030
https://doi.org/10.1016/j.jmaa.2013.05.030