Representations of positive projections I

In this paper we start the development of a general theory of Maharam-type representation theorems for positive projections on Dedekind complete vector lattices. In the approach to these results the theory of f -algebras plays a crucial role.

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2005-09, Vol.9 (3), p.293-325
Main Authors: LUXEMBURG, W. A. J, DE PAGTER, B
Format: Article
Language:English
Subjects:
Algebra
Boolean
Combinatorics. Ordered structures
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematical models
Mathematics
Operator theory
Order, lattices, ordered algebraic structures
Sciences and techniques of general use
Studies
Theorems
Vector space
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Summary:In this paper we start the development of a general theory of Maharam-type representation theorems for positive projections on Dedekind complete vector lattices. In the approach to these results the theory of f -algebras plays a crucial role.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-004-2773-5