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Linear Functional Analysis: An Application-Oriented Introduction /

Linear Functional Analysis: An Application-Oriented Introduction /
Catalogue Information
Field name Details
Dewey Class 515.7
Title Linear Functional Analysis ([EBook]) : An Application-Oriented Introduction / / by Hans Wilhelm Alt.
Author Alt, Hans Wilhelm
Other name(s) SpringerLink (Online service)
Publication London : : Springer London : : Imprint: Springer, , 2016.
Physical Details XII, 435 p. 19 illus. : online resource.
Series Universitext 0172-5939
ISBN 9781447172802
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-1-4471-7280-2
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