Articles liés à Introduction to the Analysis of Normed Linear Spaces
Synopsis
This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.
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Présentation de l'éditeur
This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.
Revue de presse
'... the text is up-to-date and detailed in exposition, and is large enough in material covered for different courses to be constructed from it ...'. Australian Mathematical Society Gazette
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Introduction to the Analysis of Normed Linear Spaces
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Cambridge University Press, 2000
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ISBN 13 : 9780521653756
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Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series)
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Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series)
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ISBN 13 : 9780521653756
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Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series, Series Number 13)
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Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series 13)
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INTRODUCTION TO THE ANALYSIS OF NORMED LINEAR SPACES
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Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series, Series Number 13)
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