Bourgain, Jean New classes of \(L_ p-\)spaces. (English) Zbl 0476.46020 Lecture Notes in Mathematics. 889. Berlin-Heidelberg-New York: Springer-Verlag. V, 143 p. DM 18.00; $ 8.40 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 33 Documents MSC: 46B20 Geometry and structure of normed linear spaces 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 46E15 Banach spaces of continuous, differentiable or analytic functions 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46B10 Duality and reflexivity in normed linear and Banach spaces 46E40 Spaces of vector- and operator-valued functions 46B99 Normed linear spaces and Banach spaces; Banach lattices 46B25 Classical Banach spaces in the general theory 46B22 Radon-Nikodým, Kreĭn-Milman and related properties Keywords:script Lp-spaces; Schur-property; Dunford-Pettis-property; tree- structures; isomorphic classification problem; Banach-Mazur distance; complemented subspaces; decomposition properties; blocking techniques; Radon-Nikodym property; weakly compact extension property; translation- invariant tree-spaces; three-space problem Citations:Zbl 0362.46013; Zbl 0403.46022; Zbl 0466.46024 PDFBibTeX XML Full Text: DOI