Banach lattices and positive operators. (English) Zbl 0296.47023

Die Grundlehren der mathematischen Wissenschaften. Band 215. Berlin-Heidelberg-New York: Springer-Verlag. XI, 376 p. DM 98.00; $ 40.00 (1974).


47B60 Linear operators on ordered spaces
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
15B48 Positive matrices and their generalizations; cones of matrices
15B51 Stochastic matrices
46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46A35 Summability and bases in topological vector spaces
46A40 Ordered topological linear spaces, vector lattices
46B99 Normed linear spaces and Banach spaces; Banach lattices
46E05 Lattices of continuous, differentiable or analytic functions
47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
47B99 Special classes of linear operators
47D03 Groups and semigroups of linear operators
47L05 Linear spaces of operators