LEADER 03141nam 22005415 450 001 996418270603316 005 20200701114050.0 010 $a3-0348-0692-2 024 7 $a10.1007/978-3-0348-0692-3 035 $a(CKB)3710000000306359 035 $a(DE-He213)978-3-0348-0692-3 035 $a(PPN)242975755 035 $a(EXLCZ)993710000000306359 100 $a20190617d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOperator Theory$b[electronic resource] /$fedited by Daniel Alpay 210 1$aBasel :$cSpringer Basel :$cImprint: Springer,$d2020. 215 $a1 online resource (Approx. 2000 p.) 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 $a515.724 702 $aAlpay$b Daniel$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996418270603316 996 $aOPERATOR theory$9376266 997 $aUNISA