WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

被引：3

作者：

Qin, Mengjie ^{[1
]}

Xu, Qingxiang ^{[1
]}

Zamani, Ali ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Farhangian Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hilbert C*-module; weighted Moore-Penrose inverse; indefinite inner-product space; MATRICES;

D O I：

10.4134/JKMS.j190306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions are provided under which the weighted Moore-Penrose inverse A(MN)(dagger) exists, where A is an adjointable operator between Hilbert C*-modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore-Penrose inverses A(MN)(dagger) is clarified when A is fixed, whereas M and N are variable. Perturbation analysis for the weighted Moore-Penrose inverse is also provided.

引用

页码：691 / 706

页数：16

共 15 条

[1] WEIGHTED MOORE-PENROSE INVERTIBLE AND WEIGHTED EP BANACH ALGEBRA ELEMENTS
Boasso, Enrico
Djordjevic, Dragan S.
Mosic, Dijana
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) : 1349 - 1367
[2] Weighted generalized inverses, oblique projections, and least-squares problems
Corach, G
Maestripieri, A
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2005, 26 (06) : 659 - 673
[3] On a partial order defined by the weighted Moore-Penrose inverse
Hernandez, A.
Lattanzi, M.
Thome, N.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7310 - 7318
[4] MOORE-PENROSE INVERSE IN AN INDEFINITE INNER PRODUCT SPACE
Kamaraj, K.
Sivakumar, K. C.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2005, 19 (1-2) : 297 - 310
[5] Koliha JJ, 2001, MATH SCAND, V88, P154
[6] Lance E., 1995, Hilbert C -Modules
[7] Manuilov V. M., 2005, Translations of Mathematical Monographs, V226
[8] Reverse order law for the weighted Moore-Penrose inverse in C *-algebras
Mosic, Dijana
[J]. AEQUATIONES MATHEMATICAE, 2013, 85 (03) : 465 - 470
[9] Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices
Sheng, Xingping
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 323 : 64 - 74
[10] Inverse order rule for weighted generalized inverse
Sun, WY
Wei, YM
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 19 (03) : 772 - 775

← 1 2 →