kadisonsingerproblemsolved歌手spielman From SIAM News, Volume 47, Number 1, January/February 2014 Kadison–Singer Problem Solved By Dana Mackenzie What is the best kind of mathematical problem? Does it resemble a distant mountaintop, beckoning people from far and wide to attack the summit, simply...
The Kadison-Singer Problem (K-S) has expanded since 1959 to a very large number of equivalent problems in various fields. In the present paper we will introduce the notion of weak paveability for positive elements of a von Neumann algebra M. This new formulation implies the traditional ...
We show that the Kadison-Singer problem, asking whether the pure states of the diagonal subalgebra $ell^infty-Bbb Nsubset -Cal B(ell^2-Bbb N)$ have unique state extensions to $-Cal B(ell^2-Bbb N)$, is equivalent to a similar statement in II$_1$ factor framework, concerning the ...
The recent surprising solution to this problem by Marcus, Spielman and Srivastava was a significant achievement and a significant advance for all these areas of research. We will look at many of the known equivalent forms of the Kadison-Singer Problem and see what are the best new theorems ...
The Journal of Mathematical Analysis and Applications (JMAA) plans a special issue devoted to papers that are related to the recently solved Kadison-Singer Problem. Papers should contain interesting, original results. Survey articles should not be submitted. The relationship to the Kadison-Singer Probl...
中国科学 : 数学 2023 年第 53 卷第 1 期 : 51 ∼ 64 SCIENTIA SINICA Mathematica 论文 一类 Kadison-Singer 代数的结构及其 Hochschild 上同调群 安广宇∗, 张蕊, 盛珺 陕西科技大学数学与数据科学学院, 西安 710021 E-mail: anguangyu310@163.com, zhangrui−57@163.com, 876821092@qq.com 收稿...
We show that the Kadison–Singer problem, asking whether the pure states of the diagonal subalgebra ℓ∞N⊂B(ℓ2N) have unique state extensions to B(ℓ2N), is equivalent to a similar statement in II1 factor framework, concerning the ultrapower inclusion Dω⊂Rω, where D is the ...
N. Weaver, The Kadison-Singer problem in discrepancy theory, Discrete Math., 278 (2004), pp. 227-239.N. Weaver. The Kadison-Singer problem in discrepancy theory. ArXiv Mathematics e-prints, September 2002.Weaver, N.: The Kadison–Singer problem in discrepancy theory. Discrete Math. 278 ,...
The Kadison-Singer Problem and the Uncertainty Principle Eric Weber joint with Pete CasazzaWeber, Eric
W. Lawton, Minimal sequences and the Kadison-Singer problem, Bul- letin of the Malaysian Mathematical Sciences Society, http://math. usm. my/bulletin,(2) 33 (2010), no. 2, 169-176.W. Lawton, Minimal sequences and the Kadison-Singer problem, Bulletin of the Malaysian Math. Soc. (2)...