保持谱半径的乘法映射

设X和Y为无限维Banach空间,Φ：B（X）→B（Y）是保持谱半径的满射,且秩为1算子,则Φ具有形式Φ（T）=ATA∧-1,这里A：X→Y或是线性拓扑同构映射或是线性拓扑同构映射的共轭。     

广义框架和广义Riesz基的摄动

引入并研究了Banach空间X中的Bessel集、广义框架与广义Riesz基．对X中的任一Bessel集{gm}m∈M，定义有界线性算子T：L^2（P）→X^＊，利用算子丁，给出了Bessel集与广义框架的等价刻画．同时讨论了广义框架和广义Riesz基的摄动．     

算子空间上的超循环性和混沌的左乘映射(英文)

设X是一个可分的无限维Banach空间,B(X)表示X的算子代数,即所有有界线性算子T:X→X所组成的代数.给定T∈B(X),定义一个左乘映射L_T:B(X)→B(X),L_T(V)=TV,V∈B(X).我们在算子空间B(X)上给出了一个超循环性标准,并且如果X是一个具有对称基的Banach空间,在它的对偶空间X′上也给出了一个类似的标准.此外,还讨论了算子空间B(X)上左乘映射L_T的超循环性和混沌行为与空间X上的算子T的超循环性和混沌行为之间的关系,得到T是Devaney意义下混沌的必要且只要L_T是混沌的.     

BMO鞅空间上极大算子与均方算子的有界性

本文证明了,q 均方算子在 X 值 BMO 鞅空间上是有界的当且仅当 X 同构于 q凸 Banach 空间。此外给出了极大算子与 q 均方算子的 BMO 范数,讨论了鞅空间(?)_q 与BMO_q 的相互包含关系并以此刻划了 Banach 空间的几何性质。     

一类非线性方程Mann和Ishikawa迭代程序的稳定性

设x是实Banach空间，H：X→X是Lipschitz算子，T:x→x是一致连续的且值域有界，H T是强增生的，则Mann和Ishikawa迭代程序几乎稳定地强收敛到方程Hx Tx＝f的唯一解．     

强伪压缩算子带误差的Ishikawa迭代的强稳定性

设X是任意实Banach空间，T：X→X是一Lipschitz强伪压缩算子，本给出T带误差的Ishikawa迭代过程的强稳定性，并给出一个涉及Lipschitz强增生算子T的非线性方程Tx=f迭代解的强稳定性。     

一类解析算子函数空间上的复合算子

本文用算子函数论的方法，研究了解析算子函数的Banach空间X，X0上的复合算子．给出此复合算子为有界的条件，并刻划了此复合算子在X0上为紧的特征．     

伪单调算子紧扰动的值域

设X是自反Banach空间且X和X^*均为局部一致凸空间,D是X的开、有界、凸子集,T：D→X^*是伪单调算子（pseudo-monotone),C:D→X^*是紧算子或全连续算子。利用（S ）型算子的度理论,我们建立了T C值域性质的几个结果,这些结果对研究各类方程问题有所应用。     

二阶导数条件下带参数的修正型Halley迭代族的局部收敛性北大核心CSCD

1 引言 设X和Y为实的或复的Banach空间,Ω X是开凸子集,F：Ω X→y是二阶连续可微的非线性算子．非线性算子方程F（x）=0．     

自反算子代数的环自同构

设A是Banach空间X上的自反算子代数,并且A的不变子空间格Lat A满足0+≠0和X_≠X,αA→A是环自同构.如果X是实空间,并且dim X±＞1,则存在X上的线性有界可逆算子A,使得α(T)=ATA-1,T∈A;如果X是复空间,并且dim X±=∞,则α(T)=ATA-1,T∈A.其中AX→X是线性、或者共轭线性有界可逆算子.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.