On the Kunen-Shelah properties in Banach spaces
Antonio S. Granero, Mar Jiménez, Alejandro Montesinos, José P. Moreno, Anatolij Plichko (2003)
Studia Mathematica
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Displaying similar documents to “A series whose sum range is an arbitrary finite set”
On the Kunen-Shelah properties in Banach spaces
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An amalgamation of the Banach spaces associated with James and Schreier, Part I: Banach-space structure
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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...
Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
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More lr saturated L∞ spaces
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2000 Mathematics Subject Classification: 05D10, 46B03. Given r ∈ (1, ∞), we construct a new L∞ separable Banach space which is lr saturated.
On the existence of solutions of an integro-differential equation in Banach spaces
Stanisław Szufla (2009)
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Extremely non-complex Banach spaces
Miguel Martín, Javier Merí (2011)
Open Mathematics
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A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.