03143nam 22005415 450 991048340520332120200701114050.03-0348-0692-210.1007/978-3-0348-0692-3(CKB)3710000000306359(DE-He213)978-3-0348-0692-3(PPN)242975755(EXLCZ)99371000000030635920190617d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierOperator Theory[electronic resource] /edited by Daniel AlpayBasel :Springer Basel :Imprint: Springer,2020.1 online resource (Approx. 2000 p.) General 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.A 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.Operator theoryGlobal analysis (Mathematics)Manifolds (Mathematics)Functional analysisSystem theoryOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Operator theory.Global analysis (Mathematics).Manifolds (Mathematics).Functional analysis.System theory.Operator Theory.Global Analysis and Analysis on Manifolds.Functional Analysis.Systems Theory, Control.515.724Alpay Danieledthttp://id.loc.gov/vocabulary/relators/edtBOOK9910483405203321OPERATOR theory376266UNINA