LEADER 03659nam 22007455 450 001 9910299767203321 005 20211006151551.0 010 $a3-0348-0667-1 024 7 $a10.1007/978-3-0348-0667-1 035 $a(CKB)3710000000467520 035 $a(SSID)ssj0001558607 035 $a(PQKBManifestationID)16182747 035 $a(PQKBTitleCode)TC0001558607 035 $a(PQKBWorkID)14818923 035 $a(PQKB)10527260 035 $a(DE-He213)978-3-0348-0667-1 035 $a(MiAaPQ)EBC6315603 035 $a(MiAaPQ)EBC5576336 035 $a(Au-PeEL)EBL5576336 035 $a(OCoLC)1066182716 035 $a(PPN)188455205 035 $a(EXLCZ)993710000000467520 100 $a20150804d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOperator Theory /$fedited by Daniel Alpay 205 $a1st ed. 2015. 210 1$aBasel :$cSpringer Basel :$cImprint: Springer,$d2015. 215 $a1 online resource (51 illus., 18 illus. in color. eReference.) 300 $aIncludes index. 311 $a3-0348-0668-X 311 $a3-0348-0666-3 327 $aGeneral aspects of quaternionic and Clifford analysis -- Further developments of quaternionic and Clifford analysis -- Infinite dimensional analysis -- Non-commutative theory -- Multivariable operator theory -- Reproducing kernel Hilbert spaces -- de Branges spaces -- Indefinite inner product spaces -- Schur analysis -- Linear system theory. 330 $aA one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor. 606 $aOperator theory 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aFunctional analysis 606 $aSystem theory 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aOperator theory. 615 0$aGlobal analysis (Mathematics). 615 0$aManifolds (Mathematics). 615 0$aFunctional analysis. 615 0$aSystem theory. 615 14$aOperator Theory. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aFunctional Analysis. 615 24$aSystems Theory, Control. 676 $a515.724 676 $a515.724 702 $aAlpay$b Daniel$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299767203321 996 $aOPERATOR theory$9376266 997 $aUNINA