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A Short Introduction to Metric, Banach, and Hilbert Spaces

Titre :

A Short Introduction to Metric, Banach, and Hilbert Spaces
With Operator Theory

Caractéristiques :


Auteur(s) :Christopher Heil
Editeur :SPRINGER VERLAG
Parution :09/2018
Langue :Anglais Anglais
ISBN :9783319653211
Reliure :Livre relié
Prix :60.00 € ttc
Disponibilité :Livraison sous 2 à 10 jours ouvrables.

Couverture :


A Short Introduction to Metric, Banach, and Hilbert Spaces

Résumé :

This textbook provides an introduction to the three types of spaces central to the study of analysis - metric spaces, normed spaces, and inner product spaces -along with their associated operators. Aimed at students who have a basic knowledge of undergraduate real analysis, no familiarity with measure theory is needed - all of the required background material is presented in the first chapter. Written in an appealing and accessible style, the core topics are presented rigorously yet with sufficient motivational discussion to facilitate both a thorough understanding and an appreciation for the overall context. Most major proofs are included, while certain others are assigned as problems. Numerous exercises are provided as well to ensure adequate practice of the material. A solutions manual for instructors is available upon request on the Birkhäuser website.

Table des matières :

Preface.- Notation and Preliminaries.- Metric Spaces.- Norms and Banach Spaces.- Further Results on Banach Spaces.- Inner Products and Hilbert Spaces.- Operator Theory.- Operators and Hilbert Spaces.

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