Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications

HUANG Qiang-lian; MA Ji-pu

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HUANG Qiang-lian, MA Ji-pu. Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1500-1506.

Citation:

HUANG Qiang-lian, MA Ji-pu. Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1500-1506.

Citation:

HUANG Qiang-lian, MA Ji-pu. Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1500-1506.

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Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications

HUANG Qiang-lian^1,2,
MA Ji-pu¹

1.
Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China;

Received Date: 2003-12-09
Rev Recd Date: 2005-06-16
Publish Date: 2005-12-15

Abstract

Abstract

The perturbation problem of generalized inverse is studied.And somenewsta bility characteristics of generalize dinverses were prese nted.It was also proved that the stability characteristics of gener alized inverses were independent of the choice of the generalize dinver se.Based on this result,two sufficient and necessary conditions for the lower semi-continuity of gener alized inverses as the set-valued mappings are given.
- generalized inverse,
- Moore-Penrose inverse,
- lower semi-continuity,
- Banach space

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References(12)

References

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