On the Dunford-Pettis Property of Order <em>p</em> of tensor products

Research Article

On the Dunford-Pettis Property of Order p of tensor products

Published in: Quaestiones Mathematicae
Volume 48 , issue 12 , 2025 , pages: 1721–1732
DOI: 10.2989/16073606.2025.2543785
Author(s): Ioana Ghenciu University of Wisconsin-River Falls, USA
Keywords: 46B20 , 46B25 , 46B28 , Dunford-Pettis property of order p , injective and projective tensor products
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Abstract

In this paper we give sufficient conditions on Banach spaces X and Y so that the injective tensor product X ⊗ε Y and the dual (X ⊗π Y )∗ of their projective tensor product, do not have the DPPp , 1 < p < ∞.
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