Continuity of generalized inverses of linear operators in Banach spaces and its applications

Qiang-lian Huang; Ji-pu Ma

doi:10.1007/bf03246276

Continuity of generalized inverses of linear operators in Banach spaces and its applications

Applied Mathematics and Mechanics ◽

10.1007/bf03246276 ◽

2005 ◽

Vol 26 (12) ◽

pp. 1657-1663 ◽

Cited By ~ 4

Author(s):

Qiang-lian Huang ◽

Ji-pu Ma

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses

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Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2007.02.025 ◽

2007 ◽

Vol 426 (1) ◽

pp. 1-11 ◽

Cited By ~ 13

Author(s):

Yuwen Wang ◽

Hao Zhang

Keyword(s):

Banach Spaces ◽

Perturbation Analysis ◽

Linear Operators ◽

Generalized Inverses ◽

Oblique Projection ◽

Closed Linear Operators

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Some new perturbation results for generalized inverses of closed linear operators in Banach spaces

Banach Journal of Mathematical Analysis ◽

10.15352/bjma/1342210160 ◽

2012 ◽

Vol 6 (2) ◽

pp. 58-68 ◽

Cited By ~ 1

Author(s):

Qianglian Huang ◽

Lanping Zhu ◽

Jiena Yu

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses ◽

New Perturbation ◽

Closed Linear Operators

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Perturbation analysis of generalized inverses of linear operators in Banach spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.04.011 ◽

2004 ◽

Vol 389 ◽

pp. 355-364 ◽

Cited By ~ 15

Author(s):

Qianglian Huang ◽

Jipu Ma

Keyword(s):

Banach Spaces ◽

Perturbation Analysis ◽

Linear Operators ◽

Generalized Inverses

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Perturbations and expressions for generalized inverses in Banach spaces and Moore–Penrose inverses in Hilbert spaces of closed linear operators

Linear Algebra and its Applications ◽

10.1016/j.laa.2011.01.008 ◽

2011 ◽

Vol 435 (1) ◽

pp. 117-127 ◽

Cited By ~ 5

Author(s):

Qianglian Huang ◽

Wenxiao Zhai

Keyword(s):

Banach Spaces ◽

Hilbert Spaces ◽

Linear Operators ◽

Generalized Inverses ◽

Closed Linear Operators

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Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-0286-x ◽

2011 ◽

Vol 28 (1) ◽

pp. 45-56 ◽

Cited By ~ 4

Author(s):

Hai Feng Ma ◽

Henryk Hudzik ◽

Yu Wen Wang

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses

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On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.12.033 ◽

2011 ◽

Vol 434 (12) ◽

pp. 2468-2474 ◽

Cited By ~ 6

Author(s):

Qianglian Huang

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses ◽

Oblique Projection ◽

Closed Linear Operators

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Perturbations of Moore-Penrose metric generalized inverses of linear operators in Banach spaces

Acta Mathematica Sinica English Series ◽

10.1007/s10114-014-3340-z ◽

2014 ◽

Vol 30 (7) ◽

pp. 1109-1124 ◽

Cited By ~ 7

Author(s):

Hai Feng Ma ◽

Shuang Sun ◽

YuWen Wang ◽

Wen Jing Zheng

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses

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Some new perturbation theorems for generalized inverses of linear operators in Banach spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.07.008 ◽

2010 ◽

Vol 433 (11-12) ◽

pp. 1939-1949 ◽

Cited By ~ 5

Author(s):

Xiaodan Yang ◽

Yuwen Wang

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses ◽

New Perturbation

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Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-9178-3 ◽

2012 ◽

Vol 28 (3) ◽

pp. 637-644 ◽

Cited By ~ 2

Author(s):

Yu Wen Wang ◽

Jian Zhang ◽

Yun An Cui

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses

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Generalized inverses of random linear operators in Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90143-8 ◽

1981 ◽

Vol 83 (2) ◽

pp. 582-610 ◽

Cited By ~ 10

Author(s):

Heinz W. Engl ◽

M.Zuhair Nashed

Keyword(s):

Banach Spaces ◽

Linear Operators ◽

Generalized Inverses

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