Some Weak Variants of the Existence and Disjunction Properties in Intermediate Predicate Logics

Nobu-Yuki Suzuki

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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.