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The weak phillips property

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Let X be a Banach space. If the natural projection p : X∗∗∗ → X∗ is sequentially weak∗ -weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.

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Institute of Mathematics, Polish Academy of Sciences

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Mathematics

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Colloquium Mathematicum

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10.4064/cm87-2-1

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