The Quasi-Linear Operator Outer Generalized Inverse with Prescribed Range and Kernel in Banach Spaces | Zendy

Jianbing Cao | Zendy; Yifeng Xue | Zendy

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The Quasi-Linear Operator Outer Generalized Inverse with Prescribed Range and Kernel in Banach Spaces

Author(s) -

Jianbing Cao,

Yifeng Xue

Publication year - 2013

Publication title -

journal of operators

Language(s) - English

Resource type - Journals

eISSN - 2314-5064

pISSN - 2314-5072

DOI - 10.1155/2013/204587

Subject(s) - finite rank operator , mathematics , bounded operator , linear operators , operator (biology) , linear map , inverse , banach space , generalized inverse , continuous linear operator , pseudo monotone operator , kernel (algebra) , approximation property , shift operator , compact operator , bounded function , c0 semigroup , unbounded operator , quasinormal operator , pure mathematics , mathematical analysis , operator space , computer science , biochemistry , chemistry , programming language , geometry , extension (predicate logic) , repressor , transcription factor , gene

Let and be Banach spaces, and let be a bounded linear operator. In this paper, we first define and characterize the quasi-linear operator (resp., out) generalized inverse (resp., ) for the operator , where and are homogeneous subsets. Then, we further investigate the perturbation problems of the generalized inverses and . The results obtained in this paper extend some well-known results for linear operator generalized inverses with prescribed range and kernel

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