An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method
Tom 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 273-282
MSC: Primary 46B03, 46B20.
DOI: 10.4064/ba52-3-7
Streszczenie
Inspired by Pełczyński's decomposition method in Banach spaces, we introduce the notion of Schroeder–Bernstein quadruples for Banach spaces. Then we use some Banach spaces constructed by W. T. Gowers and B. Maurey in 1997 to characterize them.