The strong WCD property for Banach spaces.
Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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B. Jones (1979)
Studia Mathematica
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G. Sirvint (1950)
Studia Mathematica
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T. Leżański (1956)
Studia Mathematica
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G. Emmanuele (1991)
Revista Matemática de la Universidad Complutense de Madrid
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We improve (in some sense) a recent theorem due to Banas and Knap (1989) about the existence of integrable solutions of a functional-integral equation.
Marián Fabian (1991)
Studia Mathematica
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We transfer a renorming method of transfer, due to G. Godefroy, from weakly compactly generated Banach spaces to Vašák, i.e., weakly K-countably determined Banach spaces. Thus we obtain a new construction of a locally uniformly rotund norm on a Vašák space. A further cultivation of this method yields the new result that every dual Vašák space admits a dual locally uniformly rotund norm.
Warren B. Moors, Sivajah Somasundaram (2002)
Acta Universitatis Carolinae. Mathematica et Physica
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Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Kazimierz Musiał (1979)
Studia Mathematica
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Michael Hrušák, Iván Martínez-Ruiz (2009)
Fundamenta Mathematicae
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We answer a question of van Mill and Wattel by showing that there is a separable locally compact space which admits a continuous weak selection but is not weakly orderable. Furthermore, we show that a separable space which admits a continuous weak selection can be covered by two weakly orderable spaces. Finally, we give a partial answer to a question of Gutev and Nogura by showing that a separable space which admits a continuous weak selection admits a continuous selection for all finite...