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An introduction to functional analysis /

Robinson, James C. (1969-)

An introduction to functional analysis /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An introduction to functional analysis /James C. Robinson, University of Warwick.
Author:	Robinson, James C.
Description:	1 volume :illustrations (black and white)
Subject:	Functional analysis.
ISBN:	9780521899642

An introduction to functional analysis /
Robinson, James C.1969-

An introduction to functional analysis /James C. Robinson, University of Warwick. - 1 volume :illustrations (black and white)

Includes bibliographical references and index.

"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"--

ISBN: 9780521899642

Publisher. No.: cam 22005178i 4500

LCCN: 2019045035

Nat. Bib. No.: GBB9J4546bnb

Nat. Bib. Agency Control No.: 019633419UkSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .R63 2020

Dewey Class. No.: 515/.7

An introduction to functional analysis /
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245 1 3 $a An introduction to functional analysis / $c James C. Robinson, University of Warwick.
263 $a 2002
264 1 $a Cambridge, United Kingdom ; $a New York : $b Cambridge University Press, $c 2020.
300 $a 1 volume : $b illustrations (black and white)
336 $a text $b txt $2 rdacontent
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504 $a Includes bibliographical references and index.
520 $a "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"-- $c Provided by publisher.
650 0 $a Functional analysis. $3 200585
650 7 $a Funktionalanalysis $2 gnd $3 857137
776 0 8 $i Online version: $t An introduction to functional analysis $b 1. $d New York : Cambridge University Press, 2020. $z 9781139030267 $w (DLC) 2019045036
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