---

＜電子ブック＞
Linear Functional Analysis : An Application-Oriented Introduction / by Hans Wilhelm Alt
(Universitext. ISSN:21916675)

版	1st ed. 2016.
出版者	(London : Springer London : Imprint: Springer)
出版年	2016
大きさ	XII, 435 p. 19 illus : online resource
著者標目	*Alt, Hans Wilhelm author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Differential equations FREE:Functional Analysis FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4471-7280-2

 類似資料