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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   $a9910483405203321
996   $aOPERATOR theory$9376266
997   $aUNINA