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 “Kadec Norms on Spaces of Continuous Functions”
On the Kunen-Shelah properties in Banach spaces
More lr saturated L∞ spaces
Gasparis, I., Papadiamantis, M. K., Zisimopoulou, D. Z. (2010)
Serdica Mathematical Journal
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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.
An amalgamation of the Banach spaces associated with James and Schreier, Part I: Banach-space structure
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...
Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
Michał Kisielewicz (1989)
Annales Polonici Mathematici
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Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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On a fixed-point theorem of Banach type
Jochen Reinermann (1970)
Annales Polonici Mathematici
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On the structure of solutions sets of differential and integral equations in Banach spaces
Stanisław Szufla (1977)
Annales Polonici Mathematici
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On the Gelfand-Phillips property in Banach spaces with PRI.
D. P. Sinha, K. K. Arora (1997)
Collectanea Mathematica
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Quotients of Banach spaces and surjectively universal spaces
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.
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Constructing non-compact operators into c₀
Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
D. Azagra, J. Gómez, J. A. Jaramillo (1996)
Extracta Mathematicae
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An intermediate value theorem in ordered Banach spaces
Gerd Herzog (2010)
Annales Polonici Mathematici
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We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
Extremal properties of the set of vector-valued Banach limits
Francisco Javier García-Pacheco (2015)
Open Mathematics
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In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X). For this we first need to study when the space of almost convergent sequences is closed in the space of bounded sequences, which turns out to happen only when the underlying space is complete. Finally, a study on the extremal structure of the set of vector-valued Banach limits is conducted...