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A solution to the Schroeder-Bernstein problem for Banach spaces. (English) Zbl 0863.46006

Summary: Two non-isomorphic Banach spaces are constructed, such that either is a complemented subspace of the other. Moreover, the spaces are of the form \(Z\) and \(Z\oplus Z\), where \(Z\) is a space isomorphic to \(Z\oplus Z\oplus Z\).

MSC:

46B03 Isomorphic theory (including renorming) of Banach spaces
46B20 Geometry and structure of normed linear spaces
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