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＜E-Book＞
Operator Theory / edited by Daniel Alpay

Publisher	(Basel : Springer Basel : Imprint: Springer)
Year	2020
Size	Approx. 2000 p : online resource
Authors	Alpay, Daniel editor SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Functional analysis LCSH:System theory FREE:Operator Theory FREE:Global Analysis and Analysis on Manifolds FREE:Functional Analysis FREE:Systems Theory, Control
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0692-3

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