Costas Poulios (2014)
Studia Mathematica
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We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's ℓ₁-theorem to spaces of the type ℓ₁(κ) for κ an uncountable cardinal.
V. Farmaki (1986)
Studia Mathematica
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D. P. Sinha, K. K. Arora (1997)
Collectanea Mathematica
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Antonio S. Granero, Mar Jiménez, Alejandro Montesinos, José P. Moreno, Anatolij Plichko (2003)
Studia Mathematica
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D. Azagra, J. Gómez, J. A. Jaramillo (1996)
Extracta Mathematicae
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Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.
Benavides, T.Domínguez (2010)
Fixed Point Theory and Applications [electronic only]
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Jan Mycielski, Grzegorz Tomkowicz (2013)
Fundamenta Mathematicae
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The second author found a gap in the proof of the main theorem in [J. Mycielski, Fund. Math. 132 (1989), 143-149]. Here we fill that gap and add some remarks about the geometry of the hyperbolic plane ℍ².
Ljubomir Ćirić (1984)
Publications de l'Institut Mathématique
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M.R. Taskovic (1976)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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...