A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

doi:10.1016/S0252-9602(08)60003-X

数学物理学报(英文版)

A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

邓春源; 杜鸿科

华南师范大学数学学院, 广州 510631

收稿日期:2005-08-26 修回日期:2006-07-10 出版日期:2008-01-20 发布日期:2008-01-20
通讯作者: 邓春源

A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

Deng Chunyuan; Du Hongke

School of Mathematics Science, South China Normal University, Guangzhou 510631, China

Received:2005-08-26 Revised:2006-07-10 Online:2008-01-20 Published:2008-01-20
Contact: Deng Chunyuan

摘要/Abstract

摘要：

In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established.

关键词: Subspace, projection, sum of two closed subspaces

Abstract:

In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established.

Key words: Subspace, projection, sum of two closed subspaces

中图分类号:

47A10

邓春源; 杜鸿科. A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES[J]. 数学物理学报(英文版), 2008, 28(1): 17-23.

Deng Chunyuan; Du Hongke. A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES[J]. Acta mathematica scientia,Series B, 2008, 28(1): 17-23.

[1]	程立新, 罗思捷. YET ON LINEAR STRUCTURES OF NORM-ATTAINING FUNCTIONALS ON ASPLUND SPACES[J]. 数学物理学报(英文版), 2018, 38(1): 151-156.
[2]	王紫, 王玉文. A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES[J]. 数学物理学报(英文版), 2017, 37(6): 1619-1631.
[3]	薛天娇, 安润玲, 侯晋川. CHARACTERIZATION OF DERIVATIONS ON B(X) BY LOCAL ACTIONS[J]. 数学物理学报(英文版), 2017, 37(3): 668-678.
[4]	秦小龙, Sun Young CHO. CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES[J]. 数学物理学报(英文版), 2017, 37(2): 488-502.
[5]	涂凯, 夏福全. A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES[J]. 数学物理学报(英文版), 2016, 36(6): 1619-1630.
[6]	肖杰胜, 曹广福. WANDERING SUBSPACES OF THE HARDY-SOBOLEV SPACES OVER Dⁿ[J]. 数学物理学报(英文版), 2016, 36(5): 1467-1473.
[7]	闫璐, 时振华, 王昊, 康静. INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM[J]. 数学物理学报(英文版), 2016, 36(3): 753-764.
[8]	贺福利, 库敏, Uwe KÄHLER. SZEGÖ KERNEL FOR HARDY SPACE OF MATRIX FUNCTIONS[J]. 数学物理学报(英文版), 2016, 36(1): 203-214.
[9]	李尤发, 杨守志. A CLASS OF MULTIWAVELETS AND PROJECTED FRAMES FROM TWO-DIRECTION WAVELETS[J]. 数学物理学报(英文版), 2014, 34(2): 285-300.
[10]	B. YOUSEFI, Sh. KHOSHDEL, Y. JAHANSHAHI. MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES[J]. 数学物理学报(英文版), 2013, 33(5): 1463-1470.
[11]	张石生, 王林, 赵云河. MULTI-VALUED TOTALLY QUASI-Φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES[J]. 数学物理学报(英文版), 2013, 33(2): 589-599.
[12]	Mohammad Sadegh Asgari. ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)[J]. 数学物理学报(英文版), 2011, 31(4): 1633-1642.
[13]	Handan Yildirim, Salim Y¨uce, Nuri Kuruoglu. HOLDITCH THEOREM FOR THE CLOSED SPACE CURVES IN LORENTZIAN 3-SPACE[J]. 数学物理学报(英文版), 2011, 31(1): 172-180.
[14]	B.Yousefi. UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS[J]. 数学物理学报(英文版), 2011, 31(1): 68-72.
[15]	卢峰红, 王卫东. INEQUALITIES FOR L_p-MIXED CURVATURE IMAGES[J]. 数学物理学报(英文版), 2010, 30(4): 1044-1052.

A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10