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Unbounded weighted composition opera...

Budzynski, Piotr.

Unbounded weighted composition operators in L2-spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Unbounded weighted composition operators in L2-spacesby Piotr Budzynski ... [et al.].
other author:	Budzynski, Piotr.
Published:	Cham :Springer International Publishing :2018.
Description:	xii, 182 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Composition operators.
Online resource:	http://dx.doi.org/10.1007/978-3-319-74039-3
ISBN:	9783319740393$q(electronic bk.)

Unbounded weighted composition operators in L2-spaces
Unbounded weighted composition operators in L2-spaces[electronic resource] /by Piotr Budzynski ... [et al.]. - Cham :Springer International Publishing :2018. - xii, 182 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22090075-8434 ;. - Lecture notes in mathematics ;2035..

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces. It develops the theory in full generality, meaning that the weighted composition operators under consideration are not regarded as products of multiplication and composition operators. A variety of seminormality properties are characterized and the first-ever criteria for subnormality of unbounded weighted composition operators is provided. The subtle interplay between the classical moment problem, graph theory and the injectivity problem is revealed and there is an investigation of the relationships between weighted composition operators and the corresponding multiplication and composition operators. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types. The book is primarily aimed at researchers in single or multivariable operator theory.

ISBN: 9783319740393$q(electronic bk.)

Standard No.: 10.1007/978-3-319-74039-3doiSubjects--Topical Terms:

662083
Composition operators.

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Unbounded weighted composition operators in L2-spaces
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245 0 0 $a Unbounded weighted composition operators in L2-spaces $h [electronic resource] / $c by Piotr Budzynski ... [et al.].
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300 $a xii, 182 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2209
520 $a This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces. It develops the theory in full generality, meaning that the weighted composition operators under consideration are not regarded as products of multiplication and composition operators. A variety of seminormality properties are characterized and the first-ever criteria for subnormality of unbounded weighted composition operators is provided. The subtle interplay between the classical moment problem, graph theory and the injectivity problem is revealed and there is an investigation of the relationships between weighted composition operators and the corresponding multiplication and composition operators. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types. The book is primarily aimed at researchers in single or multivariable operator theory.
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