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An introduction to functional analysis /
~
Robinson, James C. (1969-)
An introduction to functional analysis /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
An introduction to functional analysis /James C. Robinson, University of Warwick.
作者:
Robinson, James C.
面頁冊數:
1 volume :illustrations (black and white)
標題:
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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TWNUK
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