On the structure of solutions sets of differential and integral equations in Banach spaces
Stanisław Szufla (1977)
Annales Polonici Mathematici
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Displaying similar documents to “A remark on a theorem of Banach”
On the structure of solutions sets of differential and integral equations in Banach spaces
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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Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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On the existence of solutions of differential equations of retarded type in a Banach space
V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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The equivalence of some Banach space problems
Stephen A. Saxon, Albert Wilansky (1977)
Colloquium Mathematicae
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On the existence of solutions of an integro-differential equation in Banach spaces
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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A functional-differential equation in a Banach space
Bogdan Rzepecki (1979)
Annales Polonici Mathematici
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The Banach-Saks property in rearrangement invariant spaces
P. G. Dodds, E. M. Semenov, F. A. Sukochev (2004)
Studia Mathematica
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This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces...
Some remarks on the history of functional analysis.
Ciesielski, K., Moslehian, M.S. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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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...