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We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...
In 1974, Jeffrey Rauch proposed the hot spot conjecture for the second eigenfunctions of the Neumann eigenvalue problems. We will recall some of its development and related studies in recent years. We...
本文通过经典的可导映射,运用矩阵分块的方法,证明了因子vonNeumann代数A上的每一个非线性混合Lie三重可导映射都是可加的*-导子.
In this note, we show that, assuming a positive solution to the Connes Embedding Problem (CEP), the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fa...
本文考虑二阶常微分方程Neumann边值问题正解的存在性,其中f:[0,1]×R→R(R=(-∞,+∞))为连续函数.运用Dancer全局分歧定理建立了上述问题正解的全局分歧,并且获得了保证上述问题存在正解的若干最优充分条件.
We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as ...
利用Schauder不动点定理研究二阶非自治半正的耦合微分方程组Neumann边值问题正解的存在性. 在扰动项积分值符号同正、 同负和异号的情况下, 分别获得了该奇异耦合微分方程组Neumann边值问题存在正解的条件。
This work considers properties of the Neumann-to-Dirichlet map for the conductivity equation under the assumption that the conductivity is identically one close to the boundary of the examined smooth,...
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
利用Schauder不动点定理研究二阶非自治半正的耦合微分方程组Neumann边值问题正解的存在性. 在扰动项积分值符号同正、 同负和异号的情况下, 分别获得了该奇异耦合微分方程组Neumann边值问题存在正解的条件.
Abstract: Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We introduce the topology $t_c(M)$ on $E(M)$ generated by a center-valued norm and prove that it coincides wi...
Abstract: We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian $\Delta$ on a smooth, bounded domain Omega in RR^n with either Diri...
Abstract: Let K be a skew field and (G,<) an ordered group. We show that the skew field generated by the group ring K[G] inside the Malcev-Neumann series ring K((G;<)) contains noncommutative free gro...
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open even for singly-generated ...
This paper concerns with two issues. The first issue is the existence and the uniqueness of the ergodic type number d which appears in the oblique boundary condition. The second issue is the applicati...

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