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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1951))

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Abstract

Let us remember that given two Banach spaces X, Y and a bounded linear operator T from X onto Y there exists a continuous (nonlinear in general) mapping B of Y into X such that TBy = y for every yY [DGZ93, p. 299]. The operator B is called the Bartle-Graves selector of T −1.

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Correspondence to Aníbal Moltó .

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© 2009 Springer-Verlag Berlin Heidelberg

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Moltó, A., Orihuela, J., Troyanski, S., Valdivia, M. (2009). Some Applications. In: A Nonlinear Transfer Technique for Renorming. Lecture Notes in Mathematics, vol 1951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85031-1_5

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