Table of contents : Introduction....Pages 1-8 Preliminaries....Pages 9-40 Copies of c 0 and ℓ 1 in L p (μ, X )....Pages 41-63 C(K, X) spaces....Pages 65-74 L p (μ, X ) spaces....Pages 75-82 The space L ∞ (μ, X )....Pages 83-104 Tabulation of results....Pages 105-106 Some related open problems....Pages 107-109