Classes of nonseparable Banach spaces with no universal element
V. Farmaki (1986)
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V. Farmaki (1986)
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V. Montesinos (1987)
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J. R. Holub (1971)
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Jochen Reinermann (1970)
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K. Goebel, E. Złotkiewicz (1971)
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Stanisław Szufla (1977)
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
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Alistair Bird, Niels Jakob Laustsen (2010)
Banach Center Publications
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We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property on the other. We then investigate the properties of these James-Schreier spaces, paying particular attention to how key properties of their 'ancestors' (that is, the James space and the Schreier space) are expressed in them. Our main...