Riesz spaces II. (English) Zbl 0519.46001

Zaanen, A. C.

North-Holland Mathematical Library, Vol. 30. Amsterdam - New York - Oxford: North-Holland Publishing Company. XI, 720 p. $ 68.00; Dfl. 160.00 (1983).

MSC:

46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46A40	Ordered topological linear spaces, vector lattices
46B42	Banach lattices
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E05	Lattices of continuous, differentiable or analytic functions
06F30	Ordered topological structures
47B60	Linear operators on ordered spaces

Keywords:

Riesz space; vector lattice; Banach lattice; order dual; positive operator; kernel operator; prime ideal extension; order bounded operators; Orlicz spaces and irreducible operators; orthomorphisms and f- algebras

Citations:

Zbl 0231.46014