An Introduction to Functional Analysis - Tapa blanda

Robinson, James C.

 
9780521728393: An Introduction to Functional Analysis
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ISBN 10: 0521728398 ISBN 13: 9780521728393
Editorial: Cambridge University Press, 2020

Sinopsis

This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert–Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn–Banach theorem, the Krein–Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.

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Acerca del autor

James C. Robinson is a professor in the Mathematics Institute at the University of Warwick. He has been the recipient of a Royal Society University Research Fellowship and an Engineering and Physical Sciences Research Council (EPSRC) Leadership Fellowship. He has written six books in addition to his many publications in infinite-dimensional dynamical systems, dimension theory, and partial differential equations.

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Editorial
Cambridge University Press
Año de publicación
2020
Idioma
Inglés
ISBN 10 
0521728398
ISBN 13 
9780521728393
Encuadernación
Tapa blanda
Número de páginas
420
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Otras ediciones populares con el mismo título

9780521899642: An Introduction to Functional Analysis

Edición Destacada

ISBN 10:  0521899648 ISBN 13:  9780521899642
Editorial: Cambridge University Press, 2020
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