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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A stability theorem on quasi-reflexive operators


Author: Tsu-Chih Wu
Journal: Proc. Amer. Math. Soc. 65 (1977), 252-254
MSC: Primary 47A05; Secondary 47B30
MathSciNet review: 0451003
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Abstract: A range-closed bounded linear operator between Banach spaces is quasi-reflexive if both its kernel and cokernel are quasi-reflexive spaces. Under suitable conditions, if an operator is sufficiently close to a quasi-reflexive operator, it is itself quasi-reflexive.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0451003-X
Keywords: Banach spaces, complementary subspace, quasi-reflexive, double-splitting, kernel, cokernel
Article copyright: © Copyright 1977 American Mathematical Society