极分解定理的注记
详细信息    查看全文 | 推荐本文 |
  • 英文篇名:A Note on the Polar Decomposition Theorem
  • 作者:海国君 ; 阿拉坦仓
  • 英文作者:Guo Jun HAI;Alatancang;School of Mathematical Sciences, Inner Mongolia University;Huhhot University for Nationalities;
  • 关键词:算子矩阵 ; 极分解 ; hypo-EP算子 ; Moore-Penreso逆
  • 英文关键词:operator matrices;;polar decomposition;;hypo-EP operator;;Moore-Penreso inverse
  • 中文刊名:SXXB
  • 英文刊名:Acta Mathematica Sinica(Chinese Series)
  • 机构:内蒙古大学数学科学学院;呼和浩特民族学院;
  • 出版日期:2018-11-15
  • 出版单位:数学学报(中文版)
  • 年:2018
  • 期:v.61
  • 基金:国家自然科学基金资助项目(11761052,11761029);; 内蒙古自然科学基金资助项目(2015MS0117)
  • 语种:中文;
  • 页:SXXB201806004
  • 页数:10
  • CN:06
  • ISSN:11-2038/O1
  • 分类号:55-64
摘要
~~
        ~~
引文
[1] Andruchow E., Classes of idempotents in Hilbert space, Complex Anal. Oper. Theory, 2016, 10:1383-1409.
    [2] Baksalary O. M., Styan G. P. H., Trenkler G., On a matrix decomposition of Hartwig and Spindelbock,Linear Algebra Appl., 2009, 430:2798-2812.
    [3] Baksalary O. M., Trenkler G., Core inverse of matrices, Linear Multilinear Algebra, 2010, 58:681-697.
    [4] Baksalary O. M., Trenkler G., On the projectors FFand FF, Appl. Math. Comput.,2011, 217:10213-10223.
    [5] Baksalary O. M., Trenkler G., On disjoint range matrices, Linear Algebra Appl., 2011, 435:1222-1240.
    [6] Ben-Israel A., Greville T. N. E., Generalized Inverses:Theory and Applications, Second Edition, SpringerVerlag, New York, 2003.
    [7] Benitez J., Rakocevic V., Matrices A such that AA~(?)-A~(?)A are nonsingular, Appl. Math. Comput.,2010,217:3493-3503.
    [8] Benitez J., Rakocevic V., Canonical angles and limits of sequences of EP and co-EP matrices, Appl. Math.Comput., 2012, 218:8503-8512.
    [9] Conway J. B., A Course in Functional Analysis, Springer-Verlag, New York, 1990.
    [10] Corach G., Maestripier A., Polar decomposition of oblique projections, Linear Algebra Appl., 2010, 433:511-519.
    [11] Drivaliaris D., Karanasios S., Pappas D., Factorizations of EP operators, Linear Algebra Appl., 2008, 429:1555-1567.
    [12] Hartwig R. E., Spindelbock K., Matrices for which A*and A~+commute, Linear Multilinear Algebra, 1984,14:241-256.
    [13] Ichinose W., Iwashita K., On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces, J. Operator Theory, 2013, 70:175-180.
    [14] Itoh M., On some EP operators, Nihonkai Math. J., 2005, 16:49-56.
    [15] Kubrusly C. S., Elements of Operator Theory, Birkhauser, Boston, 2001.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700