Copies of classical sequence spaces in vector-valued-function Banach spaces

Abstract

The paper gives a very extensive and nicely written survey on the question of when spaces of Banach-space-valued functions, Lp(μ,X) (1≤p≤∞) or C(K,X), contain (complemented) copies of l1, c0 or l∞. At the end the author gives a sample of open problems and possible directions of further research related to the problem under review.