國立虎尾科技大學 |

Unbounded Weighted Composition Operators in L²-Spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Unbounded Weighted Composition Operators in L²-Spaces/ by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.
作者:	Budzyński, Piotr.
其他作者:	Jabłoński, Zenon.
面頁冊數:	XII, 182 p. 7 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Operator theory. -
電子資源:	https://doi.org/10.1007/978-3-319-74039-3
ISBN:	9783319740393

Unbounded Weighted Composition Operators in L²-Spaces
Budzyński, Piotr.

Unbounded Weighted Composition Operators in L²-Spaces[electronic resource] /by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel. - 1st ed. 2018. - XII, 182 p. 7 illus., 1 illus. in color.online resource. - Lecture Notes in Mathematics,22090075-8434 ;. - Lecture Notes in Mathematics,2144.

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

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:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Unbounded Weighted Composition Operators in L²-Spaces
LDR:02680nam a22004095i 4500 001 990701
003 DE-He213
005 20200705224025.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319740393 $9 978-3-319-74039-3
024 7 $a 10.1007/978-3-319-74039-3 $2 doi
035 $a 978-3-319-74039-3
050 4 $a QA329-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.724 $2 23
100 1 $a Budzyński, Piotr. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282385
245 1 0 $a Unbounded Weighted Composition Operators in L²-Spaces $h [electronic resource] / $c by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XII, 182 p. 7 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2209
505 0 $a Chapter 1. Preliminaries -- Chapter 2. Preparatory Concepts -- Chapter 3. Subnormality - General Criteria -- Chapter 4. C∞-vectors -- Chapter 5. Seminormality -- Chapter 6. Discrete Measure Spaces -- Chapter 7. Relationships Between Cϕ;w and Cϕ -- Chapter 8. Miscellanea.
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 Operator theory. $3 527910
650 0 $a Functional analysis. $3 527706
650 0 $a Measure theory. $3 527848
650 1 4 $a Operator Theory. $3 672127
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Measure and Integration. $3 672015
700 1 $a Jabłoński, Zenon. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282386
700 1 $a Jung, Il Bong. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282387
700 1 $a Stochel, Jan. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282388
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319740386
776 0 8 $i Printed edition: $z 9783319740409
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-319-74039-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)