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MARC 21

Linear Functional Analysis: An Application-Oriented Introduction /
Tag	Description
020	$a9781447172802$9978-1-4471-7280-2
082	$a515.7$223
099	$aOnline resource: Springer
100	$aAlt, Hans Wilhelm.
245	$aLinear Functional Analysis$h[EBook]$bAn Application-Oriented Introduction /$cby Hans Wilhelm Alt.
260	$aLondon :$bSpringer London :$bImprint: Springer,$c2016.
300	$aXII, 435 p. 19 illus.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aUniversitext,$x0172-5939
505	$aIntroduction -- 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.
520	$aThis 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aUniversitext,$x0172-5939
856	$uhttp://dx.doi.org/10.1007/978-1-4471-7280-2