Classical Banach spaces. II: Function spaces. (English) Zbl 0403.46022

Lindenstrauss, Joram; Tzafriri, Lior

Ergebnisse der Mathematik und ihrer Grenzgebiete. 97. Berlin-Heidelberg-New York: Springer-Verlag. X, 243 p. (1979).

MSC:

46B25	Classical Banach spaces in the general theory
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46B20	Geometry and structure of normed linear spaces
46B42	Banach lattices

Keywords:

Geometry; Classical Banach Spaces; Banach Lattices; Representation; P- Convexity; Uniform Convexity; Approximation Property; Rearrangement Invariant Function Spaces; Boyd Indices; Trigonometric Systems; Complemented Subspaces; Poisson Process; Interpolation Spaces; Haar System