Topological Riesz Spaces and Measure Theory
By (author) D. H. Fremlin
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Topological Riesz Spaces and Measure Theory by D. H. Fremlin
Book DescriptionMeasure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral.
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Book DetailsISBN: 9780521090315
(228mm x 152mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 20-Nov-2008
Country of Publication: United Kingdom
Books By Author D. H. Fremlin
Consequences of Martin's Axiom, Paperback (November 2008)» View all books by D. H. Fremlin
'Martin's axiom' is one of the most fruitful axioms which have been devised to show that certain properties are insoluble in standard set theory.
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