Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
Michał Kisielewicz (1989)
Annales Polonici Mathematici
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Michał Kisielewicz (1989)
Annales Polonici Mathematici
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Przemysław Wojtaszczyk (1971)
Studia Mathematica
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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.
Pandelis Dodos, Valentin Ferenczi (2007)
Fundamenta Mathematicae
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We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
Antonio S. Granero, Mar Jiménez, Alejandro Montesinos, José P. Moreno, Anatolij Plichko (2003)
Studia Mathematica
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Jochen Reinermann (1970)
Annales Polonici Mathematici
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K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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Stanisław Szufla (1977)
Annales Polonici Mathematici
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J. R. Holub (1971)
Colloquium Mathematicae
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Stephen A. Saxon, Albert Wilansky (1977)
Colloquium Mathematicae
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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M. Kadec (1971)
Studia Mathematica
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Pandelis Dodos, Jordi Lopez-Abad (2008)
Studia Mathematica
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We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.