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Partially Ordered Abelian Groups With Interpolation (Mathematical Surveys and Monographs) by Kenneth Ralph Goodearl is a nonfiction available to read on EtoBox.

What is Partially Ordered Abelian Groups With Interpolation (Mathematical Surveys and Monographs) about?

A branch of ordered algebraic structures has grown, motivated by $K$-theoretic applications and mainly concerned with partially ordered abelian groups satisfying the Riesz interpolation property. This monograph is the first source in which the algebraic and analytic aspects of these interpolation groups have been integrated into a coherent framework for general reference. The author provides a solid foundation in the structure theory of interpolation groups and dimension groups (directed unperforated interpolation groups), with applications to ordered $K$-theory particularly in mind. Although interpolation groups are defined as purely algebraic structures, their development has been strongly influenced by functional analysis. This cross-cultural development has left interpolation groups somewhat estranged from both the algebraists, who may feel intimidated by compact convex sets, and the functional analysts, who may feel handicapped by the lack of scalars. This book, requiring only standard first-year graduate courses in algebra and functional analysis, aims to make the subject accessible to readers from both disciplines. High points of the development include the following: charac

Who reads Partially Ordered Abelian Groups With Interpolation (Mathematical Surveys and Monographs)?

Author

Kenneth Ralph Goodearl

Publisher

American Mathematical Society

Published

2010

Language

EN

ISBN

9780821849804

Category

nonfiction