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Unbounded weighted composition opera...

Budzynski, Piotr.

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Unbounded weighted composition operators in L2-spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Unbounded weighted composition operators in L2-spaces/ by 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

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 ;2209..

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

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

579159
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.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
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.
650 0 $a Composition operators. $3 579159
650 0 $a Banach spaces. $3 579190
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Measure and Integration. $3 891263
700 1 $a Budzynski, Piotr. $3 3332610
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2209. $3 3332611
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74039-3
950 $a Mathematics and Statistics (Springer-11649)