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Operator theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Operator theory/ edited by Daniel Alpay.
其他作者:	Alpay, Daniel.
出版者:	Basel :Springer Basel : : 2015.,
面頁冊數:	xix, 1860 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Operator theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-0348-0667-1
ISBN:	9783034806671

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

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

527910
Operator theory.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Operator theory
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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.
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