Polar decomposition of oblique projections

被引:18
|
作者
Corach, G. [1 ]
Maestripieri, A.
机构
[1] UBA, Dept Matemat, Fac Ingn, RA-1083 Buenos Aires, DF, Argentina
关键词
Oblique projections; Polar decomposition; Partial isometries; Moore-Penrose pseudoinverse; ITERATED ALUTHGE TRANSFORM;
D O I
10.1016/j.laa.2010.03.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The partial isometries and the positive semidefinite operators which appear as factors of polar decompositions of bounded linear idempotent operators in a Hilbert space are characterized. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:511 / 519
页数:9
相关论文
共 50 条
  • [1] OBLIQUE PROJECTIONS
    BLACK, PJ
    [J]. ACTA CRYSTALLOGRAPHICA, 1955, 8 (10): : 656 - 657
  • [2] Oblique Projections
    Veselic, K.
    [J]. DAMPED OSCILLATIONS OF LINEAR SYSTEMS: A MATHEMATICAL INTRODUCTION, 2011, 2023 : 55 - 60
  • [3] Nonlinear oblique projections
    Beltita, Ingrid
    Beltita, Daniel
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 533 : 451 - 467
  • [4] Geometry of oblique projections
    Andruchow, E
    Corach, G
    Stojanoff, D
    [J]. STUDIA MATHEMATICA, 1999, 137 (01) : 61 - 79
  • [5] Oblique projections and frames
    Antezana, J
    Corach, G
    Ruiz, M
    Stojanoff, D
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (04) : 1031 - 1037
  • [6] Polar projections
    Amoils, S
    [J]. NATURE REVIEWS MICROBIOLOGY, 2005, 3 (07) : 521 - 521
  • [7] Polar projections
    Shannon Amoils
    [J]. Nature Reviews Microbiology, 2005, 3 : 521 - 521
  • [8] Oblique Projections and Sampling Problems
    Gustavo Corach
    Juan I. Giribet
    [J]. Integral Equations and Operator Theory, 2011, 70 : 307 - 322
  • [9] On the field of values of oblique projections
    Simoncini, Valeria
    Szyld, Daniel B.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (04) : 810 - 818
  • [10] Lipschitz continuity of oblique projections
    Wimmer, HK
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (03) : 873 - 876