DP∗-Properties of order p on Banach spaces

Abstract

In this article a new property of Banach spaces, called the DP*-property of order p (briefly denoted by DP* P_p) 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