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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.
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Tom
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273--282
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Bibliogr. 7 poz.
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Bibliografia
- [1] P. G. Casazza, The Schroeder-Bernstein property of Banach space, in: Contemp. Math. 85, Amer. Math. Soc., 1989, 61-77.
- [2] E. M. Galego, How to generate new Banach spaces non-isomorphic to their cartesian squares, Bull. Polish Acad. Sci. Math. 47 (1999), 21-25.
- [3] -, Banach spaces complemented in each other without isomorphic finite sums, ibid. 50 (2002), 1-9.
- [4] -, On solutions to the Schroeder-Bernstein problem for Banach spaces, Arch. Math. (Basel) 74 (2002), 299-307.
- [5] W. T. Gowers, A solution to the Schroeder-Bernstein problem for Banach space, preliminary version (unpublished).
- [6] -, A solution to the Schroeder-Bernstein problem for Banach space, Bull. London Math. Soc. 28 (1996), 297-304.
- [7] W. T. Gowers and B. Maurey, Banach spaces with small spaces of operators, Math. Ann. 307 (1997), 543-568.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0004-0029