On Pelczynski's property (V*) in vector sequence spaces.
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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Fernando Bombal Gordón (1988)
Collectanea Mathematica
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Joaquín M. Gutiérrez, Jesús A. Jaramillo, José G. Llavona (1995)
Extracta Mathematicae
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In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.
H. Benabdellah, C. Castaing (1997)
Collectanea Mathematica
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Vassiliki Farmaki (1999)
Studia Mathematica
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We introduce and study the spreading-(s) and the spreading-(u) property of a Banach space and their relations. A space has the spreading-(s) property if every normalized weakly null sequence has a subsequence with a spreading model equivalent to the usual basis of ; while it has the spreading-(u) property if every weak Cauchy and non-weakly convergent sequence has a convex block subsequence with a spreading model equivalent to the summing basis of . The main results proved are the...
Richard Aron (2002)
Extracta Mathematicae
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Togo Nishiura, Daniel Waterman (1963)
Studia Mathematica
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E. Odell (1980)
Compositio Mathematica
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Peter Biström, Jesús Jaramillo, Mikael Lindström (1995)
Studia Mathematica
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This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E), the algebra of real analytic functions on E, as well as to various subalgebras of A(E). These bounding sets are shown to be relatively weakly compact and the question whether they are always relatively compact in the norm topology is reduced to the study of the action on the set of unit vectors in of the corresponding functions in . These results are achieved by studying the homomorphisms...
Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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