عنوان

Unbounded weighted composition operators in L²-Spaces /

(Number (ISBN

3319740393

(Number (ISBN

9783319740393

Erroneous ISBN

3319740385

Erroneous ISBN

9783319740386

Title Proper

Unbounded weighted composition operators in L²-Spaces /

General Material Designation

[Book]

First Statement of Responsibility

by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

1 online resource (xii, 180 pages) :

Other Physical Details

illustrations

Series Title

Lecture Notes in Mathematics,

Volume Designation

2209

ISSN of Series

0075-8434 ;

Text of Note

Includes bibliographical references and indexes.

Text of Note

Chapter 1. Preliminaries -- Chapter 2. Preparatory Concepts -- Chapter 3. Subnormality -- General Criteria -- Chapter 4. C{u221E}-vectors -- Chapter 5. Seminormality -- Chapter 6. Discrete Measure Spaces -- Chapter 7. Relationships Between C{u03D5};w and C{u03D5} -- Chapter 8. Miscellanea.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319740393

International Standard Book Number

9783319740386

Banach spaces.

Composition operators.

Functional analysis.

Measure theory.

Operator theory.

Functional Analysis.

Mathematics.

Measure and Integration.

Operator Theory.

Banach spaces.

Composition operators.

Functional analysis & transforms.

Functional analysis.

Integral calculus & equations.

Mathematics-- Functional Analysis.

Mathematics-- Mathematical Analysis.

Mathematics.

Measure theory.

Operator theory.

MAT037000

PBKF

Number

Edition

Class number

Book number

Budzyński, Piotr

Jablónski, Zenon Jan,1973-

Jung, Il Bong,1954-

Stochel, Jan,1951-

Date of Transaction

20200823104631.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y