RESEARCH ANNOUNCEMENTS──Convergence Analysis of Quasi－Newton Methods for Nonlinear Programming Problems

ＲＥＳＥＡＲＣＨＡＮＮＯＵＮＣＥＭＥＮＴＳ──ＣｏｎｖｅｒｇｅｎｃｅＡｎａｌｙｓｉｓｏｆＱｕａｓｉ－ＮｅｗｔｏｎＭｅｔｈｏｄｓｆｏｒＮｏｎｌｉｎｅａｒＰｒｏｇｒａｍｍｉｎｇＰｒｏｂｌｅｍｓ￥ＣｈｅｎＺｈｏｎｇ（陈忠）（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｗｕｈ...     

On Rational Bases of Subspaces of F((D))~n

ＯｎＲａｔｉｏｎａｌＢａｓｅｓｏｆＳｕｂｓｐａｃｅｓｏｆＦ（（Ｄ））~ｎＷａｎＺｈｅｘｉａｎ（万哲先）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｂｅｉｊｉｎｇ，１０００８０ａｎｄＤｅｐａｒ?..     

Harmonic Analysis on the Compact Homogeneous Spaces──about Fourier Multiplier ofH~P（M） Space

ＨａｒｍｏｎｉｃＡｎａｌｙｓｉｓｏｎｔｈｅＣｏｍｐａｃｔＨｏｍｏｇｅｎｅｏｕｓＳｐａｃｅｓ──ａｂｏｕｔＦｏｕｒｉｅｒＭｕｌｔｉｐｌｉｅｒｏｆＨ~Ｐ（Ｍ）Ｓｐａｃｅ￥ＤｏｎｇＤａｏｚｈｅｎ；ＺｈｅｎｇＸｕｅａｎ（ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉ?..     

On a Conjecture of Shapiro's

ＯｎａＣｏｎｊｅｃｔｕｒｅｏｆＳｈａｐｉｒｏ＇ｓ陈志国ＯｎａＣｏｎｊｅｃｔｕｒｅｏｆＳｈａｐｉｒｏ＇ｓ￥ＣｈｅｎＺｈｉｇｕｏ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ）Ａｂａｔｒａｃｔ：Ｔｈｉｓｐｒｏｂｌｅｍｗａｓ...     

A Sufficient and Necessary Condition for Subellipticity of Left Invariant Differential Operators on Nilpotent Left GroupG~（2n＋k）

ＡＳｕｆｆｉｃｉｅｎｔａｎｄＮｅｃｅｓｓａｒｙＣｏｎｄｉｔｉｏｎｆｏｒＳｕｂｅｌｌｉｐｔｉｃｉｔｙｏｆＬｅｆｔＩｎｖａｒｉａｎｔＤｉｆｆｅｒｅｎｔｉａｌＯｐｅｒａｔｏｒｓｏｎＮｉｌｐｏｔｅｎｔＬｅｆｔＧｒｏｕｐＧ~（２ｎ＋ｋ）￥ＺｈｅｎｇＺｈｕｊｕｎ?..     

Second Order Complex Equations of Mixed Type

ＳｅｃｏｎｄＯｒｄｅｒＣｏｍｐｌｅｘＥｑｕａｔｉｏｎｓｏｆＭｉｘｅｄＴｙｐｅＳｕｎＨｅｓｈｅｎｇ（孙和生）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓａｎｄＣｏｍｐｕｔａｔｉｏｎａｌＭａｔｈｅｍａｔｉｃｓ）Ｐ．Ｏ．Ｂｏｘ８００９，Ｂｅｉｊｉｎ...     

On a Class of Additive Functions

ＯｎａＣｌａｓｓｏｆＡｄｄｉｔｉｖｅＦｕｎｃｔｉｏｎｓＺｈａｉｗｅｎｇｕａｎｇ（翟文广）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＳｈａｎｄｏｎｇＵｎｉｖ．，Ｊｉｎａｎ，Ｓｈｏｎｄｏｎｇ，２５０１Ｏ０）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＰａｎＣｈｅｎｇｂｉａｏＲｅｃｅｉ...     

The Spectral Pictures of Completely Irreducible Operators and Decomposition Theorem Of Hilbert Space Operators

ＴｈｅＳｐｅｃｔｒａｌＰｉｃｔｕｒｅｓｏｆＣｏｍｐｌｅｔｅｌｙＩｒｒｅｄｕｃｉｂｌｅＯｐｅｒａｔｏｒｓａｎｄＤｅｃｏｍｐｏｓｉｔｉｏｎＴｈｅｏｒｅｍｏｆＨｉｌｂｅｒｔＳｐａｃｅＯｐｅｒａｔｏｒｓ￥ＪｉａｎｇＣｈｕｎｌａｎ（蒋春澜）（Ｄｅｐａｒｔｍｅｎ...     

A Construction of Co-H Spaces

ＡＣｏｎｓｔｒｕｃｔｉｏｎｏｆＣｏ－ＨＳｐａｃｅｓＷａｎｇＸｕ（王旭）（Ｉｎｓｔ．ｏｆＭａｔｈ．，ＡｃａｄｅｍｉｃａＳｉｎｉｃａ，北京，１０００８０）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＳｈｅｎＸｉｎｙａｏＲｅｃｅｉｖｅｄＯｃｔ．１３，１９９４ＡＣｏｎｓｔｒ...     

Existence of Periodic Solutions for a Class of Nonlinear Ordinary Differential Equations of Higher Order

ＥｘｉｓｔｅｎｃｅｏｆＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｓｆｏｒａＣｌａｓｓｏｆＮｏｎｌｉｎｅａｒＯｒｄｉｎａｒｙＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓｏｆＨｉｇｈｅｒＯｒｄｅｒＬｉｕＺｈａｏｌｉ（刘兆理）（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｓｈａｎｄｏｎ...     

A Completely Irreducible Compact Perturbation of a Class of Essentially Normal Operators

Ａ　Ｃｏｍｐｌｅｔｅｌｙ　Ｉｒｒｅｄｕｃｉｂｌｅ　Ｃｏｍｐａｃｔ　Ｐｅｒｔｕｒｂａｔｉｏｎ　ｏｆ　ａ　Ｃｌａｓｓ　ｏｆ　Ｅｓｓｅｎｔｉａｌｌｙ　Ｎｏｒｍａｌ　ＯｐｅｒａｔｏｒｓＪｉａｎｇＣｈｕｎｌａｎ（蒋春澜）ＣａｏＧｕａｎｇｆｕ（曹广福）ＳｕｎＳｈ...     

On the Complexity of the Julia Sets of Rational Functions

ＯｎｔｈｅＣｏｍｐｌｅｘｉｔｙｏｆｔｈｅＪｕｌｉａＳｅｔｓｏｆＲａｔｉｏｎａｌＦｕｎｃｔｉｏｎｓＱｉａｏＪｉａｎｙｏｎｇ（乔建永）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ，１０００８０）Ｃｏｍｍｕｎ...     

L~∞ESTIMATE FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN R~N

Ｌ~∞ＥＳＴＩＭＡＴＥＦＯＲＳＯＬＵＴＩＯＮＳＯＦＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳＩＮＲ~ＮＬｉＧｏｎｇｂａｏ（李工宝）（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＴｈｅＣｈｉｎｅｓｅＡｃａｃｌｅｍｙｏｆＳｃｉｅｎｃｅｓＳｉｎｉｃａ，ＰＯＢ...     

Research Announcements Oscillon of Second Order Matrix Differntial Systems

ＲＥＳＥＡＲＣＨＡＮＮＯＵＮＣＥＭＥＮＴＳＯｓｃｉｌｌａｔｉｏｎｏｆＳｅｃｏｎｄＯｒｄｅｒＭａｔｒｉｘＤｉｆｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓＭｅｎｇＦａｎｗｅｉ（孟凡伟）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ），Ｓｈａｎ...     

On Compact Perturbations of m-Accretive Operators

ＯｎＣｏｍｐａｃｔＰｅｒｔｕｒｂａｔｉｏｎｓｏｆｍ┐ＡｃｒｅｔｉｖｅＯｐｅｒａｔｏｒｓＺｈａｎｇＧｕｏｗｅｉ（Ｄｅｐｔ．ｏｆＢａｓｉ．Ｓｃｉ．，ＳｈｅｎｙａｎｇＡｇｒｉｃｕｌｔｕｒａｌＵｎｉｖｅｒｓｉｔｙ，Ｓｈｅｎｙａｎｇ１１０１６１）Ｋｅｙｗｏｒ...     

α-CARLESON MEASURE AND BLOCH FUNCTIONS ON BOUNDED SYMMETRIC DOMAINS OF C~n

α－ＣＡＲＬＥＳＯＮＭＥＡＳＵＲＥＡＮＤＢＬＯＣＨＦＵＮＣＴＩＯＮＳＯＮＢＯＵＮＤＥＤＳＹＭＭＥＴＲＩＣＤＯＭＡＩＮＳＯＦＣ~ｎＯｕｙａｎｇＣａｉｈｅｎｇ（欧阳才衡）（ＷｕｈａｎＩｕｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＣｈｉｎｅｓｅＡｃａｄ．ｏｆＳｃｉ．，...     

On the Convergence Acceleration of Composite Sequence Transformation

ＯｎｔｈｅＣｏｎｖｅｒｇｅｎｃｅＡｃｃｅｌｅｒａｔｉｏｎｏｆＣｏｍｐｏｓｉｔｅＳｅｑｕｅｎｃｅＴｒａｎｓｆｏｒｍａｔｉｏｎ￥ＴａｎｇＳｈｕｏ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＨｅｆｅｉＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏ...     

On Weak Topology of Sequence Orlicz Spaces

ＯｎＷｅａｋＴｏｐｏｌｏｇｙｏｆＳｅｑｕｅｎｃｅＯｒｌｉｃｚＳｐａｃｅｓＣｈｅｎＳｈｕｔａｏ（陈述涛）（ＨａｒｂｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈｅｉｌｏｎｇｊｉａｎｇ，１５００８０）ＳｕｎＨｕｉｙｉｎｇ（孙慧颖）（ＨａｒｂｉｎＩｎｓｔｉｔｕｔ...     

On the Construction of d-Continuous Modules over Some Special Rings

ＯｎｔｈｅＣｏｎｓｔｒｕｃｔｉｏｎｏｆｄ－ＣｏｎｔｉｎｕｏｕｓＭｏｄｕｌｅｓｏｖｅｒＳｏｍｅＳｐｅｃｉａｌＲｉｎｇｓ￥ＣｈｅｎＪｉｎｊｉａｎ（ＧｕａｎｇｄｏｎｇＮａｔｉｏｎａｌＩｎｓｔｉｔｕｔｅ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｅｐｅｐｅｒ，ｗｅｕｓｉｎｇ...     

The Essential Spectrum of Toeplitz Operators on Strongly Pseudoconvex Domains

ＴｈｅＥｓｓｅｎｔｉａｌＳｐｅｃｔｒｕｍｏｆＴｏｅｐｌｉｔｚＯｐｅｒａｔｏｒｓｏｎＳｔｒｏｎｇｌｙＰｓｅｕｄｏｃｏｎｖｅｘＤｏｍａｉｎｓＧｕｏＫｕｎｙｕ（郭坤宇）（ＳｉｃｈｕａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ，Ｓｉｃｈｕａｎ，６１００６４）Ｃｏ...