Abstract

Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in real Banach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space X X to L p ( μ , X ) L^p(\mu , X) , for 0 > p > ∞ 0 > p > \infty . Local versions of these properties and results are also considered.

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