关于半群局部化的一个注记

证明了对于任何的半群Ｓ和其任何的子半群Ｔ，Ｓ在Ｔ的局部化总是存在的。     

MEAN APPROXIMATION BY DILATATIONS IN BERGMAN SPACES ON THE UPPER HALF-PLANE

We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman,weighted Dirichlet,and weighted Besov spaces on the upper half-plane by dilatations and eventually by analytic polynomials.     

右半平面上的随机Dirichlet级数的值分布性质

本文在较宽的系数条件下，对更一般的非同分布随机变量序列，讨论了右半平面上的随机Dirichlet级数f(s,ω)的增长级，证明了f(s，ω)沿任一水平半直线的增长级几乎必然(a．s．)为ρ，并且a．s．以σ=0上的每一点为其Picard点．     

A NOTE ON PRODUCTS OF THE WHITEHEAD TYPE

Abstract

A survey is given of various generalizations of the Whitehead product. Carrying the procedure a step further, a generalization is given that specialized in one wry relates to the “Whitehead elements” in the (mod p) kernel of the double suspension (p an odd prime, p > 4). Specialized in another way the product relates to the action of the Q-homomorphism (in the EHQ sequence) on elements that are not double suspensions.     

A NOTE ON THE STRUCTURE OF STOCHASTIC MATRICES

It is known that nearly uncoupled irreducible stochastic matrices must possess sub-dominant eigenvalues near λ=1. It is nature to ask whether the converse is true. Hortfieland Meyer [2] gave a positive answer. They introduced the notion of uncoupling measureof Stochastic matrices. For an n×n stochastic matrix P the uncoupling measure of P is de-fined as σ(p)=min((sum from i∈M_1,j∈M_1(P_(ij)))+(sum from i∈M_1,j∈M_1(P_(ij))), where the minimum is taken over all     

关于Schur补应用的一点注记

本文以Schur补的秩可加性为基础，研究任二矩阵的秩之间的关系，讨论了其具有重要意义的若干用例。     

右半平面上解析的Laplace-Stieltjes变换对数级

本文研究了零级Laplace-Stieltjes变换的增长性问题.利用对数级和对数下级的定义,获得了这类变换具有对数级的特征,即变换的对数级和对数下级与其系数之间的关系,推广了Dirichlet级数的相关结果.     

A NOTE ON THE DRAZIN INVERSE OF A MODIFIED MATRIX

In this article,the expression for the Drazin inverse of a modified matrix is considered and some interesting results are established.This contributes to certain recent results obtained by Y.Wei [9].