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Titlebook: Linear Functional Analysis; An Application-Orien Hans Wilhelm Alt Textbook 2016 Springer-Verlag London 2016 Banach Space.Hilbert Space.Func

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书目名称Linear Functional Analysis
副标题An Application-Orien
编辑Hans Wilhelm Alt
视频video
概述A complete, self-contained introduction to linear functional analysis.Includes topics such as operator theory, distributions, Sobolev spaces.Features many solved exercises
丛书名称Universitext
图书封面Titlebook: Linear Functional Analysis; An Application-Orien Hans Wilhelm Alt Textbook 2016 Springer-Verlag London 2016 Banach Space.Hilbert Space.Func
描述This book gives an introduction to Linear Functional Analysis, which is 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..
出版日期Textbook 2016
关键词Banach Space; Hilbert Space; Functional Analysis; Partial Differential Equations; Spectral theory
版次1
doihttps://doi.org/10.1007/978-1-4471-7280-2
isbn_softcover978-1-4471-7279-6
isbn_ebook978-1-4471-7280-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London 2016
The information of publication is updating

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Linear functionals,In this chapter we deal with the representations of dual spaces, i.e. we will state canonical isomorphisms between the most important dual spaces and already known spaces. We will use this to solve boundary value problems for partial differential equations.
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Weak convergence,In many cases the concept of convergence with respect to the norm turns out to be too restrictive. That is why in this chapter we will introduce a weaker notion of convergence which will enable us to solve minimum problems under far weaker assumptions.
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