LEADER 03014nam 22005652 450 001 9910822776103321 005 20151002020706.0 010 $a1-61444-213-4 035 $a(CKB)2670000000345863 035 $a(EBL)3330378 035 $a(SSID)ssj0000981958 035 $a(PQKBManifestationID)11985300 035 $a(PQKBTitleCode)TC0000981958 035 $a(PQKBWorkID)10983747 035 $a(PQKB)11387959 035 $a(UkCbUP)CR9781614442134 035 $a(MiAaPQ)EBC3330378 035 $a(Au-PeEL)EBL3330378 035 $a(CaPaEBR)ebr10728527 035 $a(OCoLC)939263618 035 $a(RPAM)17655588 035 $a(EXLCZ)992670000000345863 100 $a20130327d2013|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA guide to functional analysis /$fSteven G. Krantz, Washington University in St. Louis$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2013. 215 $a1 online resource (xii, 137 pages) $cdigital, PDF file(s) 225 1 $aDolciani Mathematical Expositions, $vv. 49 225 0$aDolciani mathematical expositions ;$vno. 49 225 0$aMAA guides ;$vno. 9 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-357-4 320 $aIncludes bibliographical references and index. 327 $aFundamentals -- Ode to the dual space -- Hilbert space -- The algebra of operators -- Banach algebra basics -- Topological vector spaces -- Distributions -- Spectral theory -- Convexity -- Fixed-point theorems. 330 $aThe purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely self-contained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience. 410 0$aDolciani Mathematical Expositions 606 $aFunctional analysis 615 0$aFunctional analysis. 676 $a515/.7 700 $aKrantz$b Steven G$g(Steven George),$f1951-$055961 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910822776103321 996 $aA guide to functional analysis$94058766 997 $aUNINA