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- W2354093480 abstract "Let a,=a+δa be two elements in a C~*-algebra Α and assume that a has the generalized inverse a~+ and ‖a~+‖‖δa‖ 1.We get that in this paper,if Α∩(1-aa~+)Α=｛0｝(i.e.,is the stable perturbation of a in Α),then ~+ exists.In this case, we give an estimation of upper bound of ‖~+‖ and ‖~+-a~+‖ respectively.In addition,under the assumption that Α is AH-algebra and ~+ exists,we prove that is the stable perturbation of a in Α if and only if ~+ and aa~+ are equivalent.This result may be viewed as an analogue of rank-preserving perturbation of matrices." @default.
- W2354093480 created "2016-06-24" @default.
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- W2354093480 date "2005-01-01" @default.
- W2354093480 modified "2023-09-24" @default.
- W2354093480 title "Stable Perturbation of Generalized Inverses in C~*-Algebras" @default.
- W2354093480 hasPublicationYear "2005" @default.
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