An Introduction to Functional Analysis (Paperback)

James C. Robinson

ISBN 10: 0521728398 / ISBN 13: 9780521728393

Editore: Cambridge University Press, Cambridge, 2020

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Paperback. 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 HilbertSchmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the HahnBanach theorem, the KreinMilman 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. This text covers key results in functional analysis that are essential for further study in analysis, the calculus of variations, dynamical systems, and the theory of partial differential equations. More than 200 fully-worked exercises and detailed proofs are given, making this ideal for upper undergraduate and beginning graduate courses. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780521728393

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Titolo: An Introduction to Functional Analysis (...

Casa editrice: Cambridge University Press, Cambridge

Data di pubblicazione: 2020

Legatura: Paperback

Condizione: new