LEADER 02672nam 2200529 450 001 9910674351803321 005 20240116135532.0 010 $a981-19-7633-3 024 7 $a10.1007/978-981-19-7633-9 035 $a(MiAaPQ)EBC7207344 035 $a(Au-PeEL)EBL7207344 035 $a(CKB)26186117100041 035 $a(DE-He213)978-981-19-7633-9 035 $a(PPN)268207305 035 $a(EXLCZ)9926186117100041 100 $a20230524d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFunctional analysis /$fS. Kesavan 205 $a2nd ed. 2023. 210 1$aSingapore :$cSpringer,$d[2023] 210 4$d©2023 215 $a1 online resource (278 pages) 225 1 $aTexts and Readings in Mathematics,$x2366-8725 ;$v52 311 08$aPrint version: Kesavan, S. Functional Analysis Singapore : Springer,c2023 327 $aPreliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire?s Theorem and Applications -- Weak and Weak* Topologies -- L? Spaces -- Hilbert Spaces -- Compact Operators. 330 $aThis second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics. 410 0$aTexts and Readings in Mathematics,$x2366-8725 ;$v52 606 $aFunctional analysis 606 $aFunctional analysis$xResearch 606 $aAnàlisi funcional$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctional analysis. 615 0$aFunctional analysis$xResearch. 615 7$aAnàlisi funcional 676 $a515.7 700 $aKesavan$b S.$0624784 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910674351803321 996 $aFunctional Analysis$93056935 997 $aUNINA