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Linear Functional Analysis = An Application-Oriented Introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear Functional Analysis/ by Hans Wilhelm Alt.
其他題名:	An Application-Oriented Introduction /
作者:	Alt, Hans Wilhelm.
面頁冊數:	XII, 435 p. 19 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	https://doi.org/10.1007/978-1-4471-7280-2
ISBN:	9781447172802

Linear Functional Analysis = An Application-Oriented Introduction /
Alt, Hans Wilhelm.

Linear Functional AnalysisAn Application-Oriented Introduction /[electronic resource] :by Hans Wilhelm Alt. - 1st ed. 2016. - XII, 435 p. 19 illus.online resource. - Universitext,0172-5939. - Universitext,.

Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of compact operators -- Self-adjoint operators -- References -- Symbols -- Index.

This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

ISBN: 9781447172802

Standard No.: 10.1007/978-1-4471-7280-2doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

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