THE CORRELATION NUMERICAL RANGE AND TRACE-POSITIVE COMPLEX POLYNOMIALS

被引：0
|
作者：
Bannon, Jon P. [1 ]
Bashwinger, Eli [1 ]
Javaheri, Mohammad [1 ]
机构：
[1] Siena Coll, Dept Math, 515 Loudon Rd, Loudonville, NY 12211 USA
来源：
OPERATORS AND MATRICES | 2016年 / 10卷 / 03期
关键词：
von Neumann algebras; generalized numerical ranges;
D O I：
10.7153/oam-10-36
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A is an element of M-n(C). We prove that if W-c(A), the correlation numerical range introduced in [2], is a subset of [0,infinity), then A = P + D where P is positive semidefinite and D is a diagonal matrix such that Tr(D) = 0. This answers a question of D. Hadwin and D. Han. Additionally, we explore a few properties of W-c(A) and W-uc(A), another numerical range introduced in [2] that is closely related to Connes's Embedding Conjecture.
引用
收藏
页码：625 / 630
页数：6
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