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Operator theory

Alpay, Daniel.

Operator theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Operator theoryedited by Daniel Alpay.
other author:	Alpay, Daniel.
Published:	Basel :Springer Basel :2015.
Description:	xix, 1860 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Operator theory.
Online resource:	http://dx.doi.org/10.1007/978-3-0348-0667-1
ISBN:	9783034806671$q(electronic bk.)

Operator theory
Operator theory[electronic resource] /edited by Daniel Alpay. - Basel :Springer Basel :2015. - xix, 1860 p. :ill. (some col.), digital ;24 cm.

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) Frechet, 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.

ISBN: 9783034806671$q(electronic bk.)

Standard No.: 10.1007/978-3-0348-0667-1doiSubjects--Topical Terms:

229156
Operator theory.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Operator theory
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300 $a xix, 1860 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a 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.
520 $a 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) Frechet, 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.
650 0 $a Operator theory. $3 229156
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Operator Theory. $3 274795
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650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Systems Theory, Control. $3 274654
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