The ideal center of partially ordered vector spaces

DOI10.1007/BF02392051zbMath0224.46010MaRDI QIDQ2548402

Wilbert Wils

Publication date: 1971

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (41)

Unnamed Item ⋮ On the facial structure of the unit balls in a GL-space and its dual ⋮ On Banach modules I ⋮ Statistical definition of observable and the structure of statistical models ⋮ Topologies and continuous functions on extreme points and pure states ⋮ Multipliers of JB-algebras ⋮ Matrix order and W*-algebras in the operational approach to statistical physical systems ⋮ On tensor products of Banach lattices ⋮ Local and global splittings in the state space of a JB-algebra ⋮ On the centre of a vector lattice ⋮ On the monotone σ-envelope of A(K) ⋮ Boolean algebras of commuting projections ⋮ The Banach-Lie algebra of multiplication operators on a \(JBW^{*}\)-triple ⋮ THE BANACH-LIE *-ALGEBRA OF MULTIPLICATION OPERATORS ON A W*-ALGEBRA ⋮ On the facial structure of the unit ball of a GM-space ⋮ Split faces and projective sets in a metrizable compact convex set ⋮ Some properties of maximal measures on compact convex sets ⋮ Simplexes de mesures simpliciales et centrales ⋮ On relative commutants in tensor products of \(C^*\)-algebras ⋮ Tensor products of compact convex sets and Banach algebras ⋮ The facial q-topology for compact convex sets ⋮ Injective Banach lattices ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Richesses du centre d'un espace vectoriel reticule ⋮ Homogeneous self dual cones, versus Jordan algebras. The theory revisited ⋮ A classification for selfdual cones in Hilbert space ⋮ Relative commutants in compact convex sets and Banach spaces ⋮ Fixräume regulärer Operatoren und ein Korovkin-Satz ⋮ Positive linear maps which are order bounded on \(C^*\) subalgebras ⋮ Some representation theorems for Banach lattices ⋮ Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple ⋮ On a class of real Banach spaces ⋮ The theory of pure operations ⋮ Spectral theory for A(X) ⋮ Eindeutigkeit des Darstellungsraumes von Vektorverbänden ⋮ Maximale Integralzerlegungen invarianter positiv definiter Funktionen auf diskreten Gruppen ⋮ Uniqueness of complex representing measures on the Choquet boundary ⋮ On global central decomposition for a universal cap ⋮ Sur une famille de cônes réticulés avec domination (les D-cônes) ⋮ Symmetry groups on ordered Banach spaces ⋮ The G-central decomposition of states of statistical systems in the algebraic and in the operational description

Cites Work

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