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DP∗-Properties of order p on Banach spaces


Jan H Fourie
Elroy D Zeekoei

Abstract

In this article a new property of Banach spaces, called the DP*-property of order p (briefly denoted by DP* Pp) is introduced and characterisations of Banach spaces with this property and some applications thereof to polynomials and holomorphic functions on Banach spaces are studied.

Keywords: Dunford-Pettis property, homogeneous polynomial, weakly p-compact set, holomorphic functions on Banach spaces

Quaestiones Mathematicae 37(2014), 349–358

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606