具有正算子系数的亚纯p-叶算子值函数的性质

通过对α阶β型亚纯星形算子值函数类∑p(α，β）的若干性质的讨论，得到了关于∑p(α，β）的一个充分必要条件的f(z)的算子系数的一个估计，同时，也证明了∑p(α，β）在算子平均和凸线性组合下是闭的。     

Mapping Surgery To Analysis III: Exact Sequences

Using the constructions of the preceding two papers, we construct a natural transformation (after inverting 2) from the Browder-Novikov-Sullivan-Wall surgery exact sequence of a compact manifold to a certain exact sequence of C ^*-algebra K-theory groups. Mathematics Subject Classification (1991): 19J25, 19K99     

Mapping Surgery to Analysis I: Analytic Signatures

We develop the theory of analytically controlled Poincaré complexes over C ^*-algebras. We associate a signature in C ^*-algebra K-theory to such a complex, and we show that it is invariant under bordism and homotopy. The authors were supported in part by NSF Grant DMS-0100464.     

非交换Lipschitz-φ算子代数

本文引入由紧距离空间(K,d)到给定Banach代数A中的Lipschitz-φ算子构成的非交换Banach代数L~φ(K,A)与l~φ(K,A),证明了它们都是由K到A的全体连续算子构成的非交换Banach代数C(K,A)的子代数,并且关于范数||f||φ=L_φ(f)+||f||∞是Banach代数,研究了不同 Lipschitz尺度函数φ对应的大(小)Lipschitz代数之间的关系。特别当φ(t)=t~α时,引入了极限代数lim_(α→0+)l~α(K,A),lim_(α→+∞)l~α(K,A),lim_(α→0+)L~α(K,A)与lim_(α→+∞)L~α(K,A)以及距离空间的Lipschitz连通性,得到了lim_(α→+∞)l~α(K,A)=A的充要条件,也给出了lim_(α→0+)L~α(K,A)=C(K,A)的条件。     

U-标算子的连续演算

本文给出了U-标算子经连续算子演算后有界的充分条件。另外,对一给定的U-标算子T,证明了当函数μ(t)连续可导时算子μ(T)有界,但存在连续函数使得μ(T)无界。     

不变子空间问题的一个等价条件

本文得到了自反Banach空间X上有界线性算子全体所成的Banach代数的子代数的不变子空间问题的一个新的等价条件。     

Banach空间逼近紧性与预报算子连续性的几何条件

首先给出 Banach空间为逼近紧的几何特征 .然后用随机变量组成的 Banach空间及空间中预报集的几何性质给出预报算子连续的条件 .     

Methods for wave equation prestack depth migration and numerical experiments

In this paper the methods of wave theory based prestack depth migration and their implementation are studied. Using the splitting of wave operator, the wavefield extrapolation equations are deduced and the numerical schemes are presented. The numerical tests for SEG/EAEG model with MPI are performed on the PC-cluster. The numerical re-     

多圆盘上的本质交换对偶Toeplitz算子

在单位多圆盘的Bergman空间上,本文分别刻画了以有界可测函数和有界多重调和函数为符号的本质交换对偶Toeplitz算子.     

On a class of Schrödinger systems with discontinuous nonlinearities

Using a non-smooth critical point theory for locally Lipschitz functionals, we investigate a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The existence of nontrivial solution is obtained.