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Linear Functional Analysis
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Linear Functional Analysis

2nd ed. 2008

Book Details

Format Paperback / Softback
ISBN-10 1848000049
ISBN-13 9781848000049
Edition 2nd ed. 2008
Publisher Springer London Ltd
Imprint Springer London Ltd
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 21st, 2007
Print length 324 Pages
Weight 592 grams
Dimensions 23.40 x 17.90 x 1.50 cms
Product Classification: Functional analysis & transforms
Ksh 5,400.00
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This leads to di?culties in that, although many of the elementary properties of ?nite-dimensional vector spaces hold in in?nite-dimensional vector spaces, many others do not. Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space.

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality.


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