Galego, Elói Medina A note on extensions of Pełczyński’s decomposition method in Banach spaces. (English) Zbl 1128.46006 Stud. Math. 180, No. 1, 27-40 (2007). This paper extends a series giving variations of Pełczyński’s decomposition method. This one completely characterizes those sextuples \((p,q,r,s,u,v)\) of natural numbers such that, for arbitrary Banach spaces \(X,Y,A,B\), the hypotheses \(X\sim Y\oplus A\), \(Y\sim X\oplus B\), \(X^u\sim X^p \oplus Y^q\) and \(Y^v\sim A^r\oplus B^s\) guarantee that \(X\sim Y\). Reviewer: David Yost (Ballarat) Cited in 2 Documents MSC: 46B03 Isomorphic theory (including renorming) of Banach spaces Keywords:Schroeder-Bernstein problem; Pełczyński’s decomposition method PDFBibTeX XMLCite \textit{E. M. Galego}, Stud. Math. 180, No. 1, 27--40 (2007; Zbl 1128.46006) Full Text: DOI