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Title: Linear Functional Analysis ([EBook]) : An Application-Oriented Introduction // by Hans Wilhelm Alt. Dewey Class: 515.7 Author: Alt, Hans Wilhelm. Publication: London : : Springer London : : Imprint: Springer,, 2016. Other name(s): SpringerLink (Online service) Physical Details: XII, 435 p. 19 illus. : online resource. Series: Universitext,0172-5939 ISBN: 9781447172802 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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