1.

Record Nr.

UNINA9910818810103321

Autore

Jablónski Zenon Jan <1973->

Titolo

Weighted shifts on directed trees / / Zenon Jan Jablónski, Il Bong Jung, Jan Stochel

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2011

©2011

ISBN

0-8218-8527-8

Descrizione fisica

1 online resource (107 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 216, Number 1017

Disciplina

515/.7246

Soggetti

Linear operators

Operator theory

Moment problems (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 2012, Volume 216, Number 1017 (third of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Prerequisites""; ""2.1. Directed trees""; ""2.2. Operator theory""; ""Chapter 3. Fundamental Properties""; ""3.1. An invitation to weighted shifts""; ""3.2. Unitary equivalence""; ""3.3. Circularity""; ""3.4. Adjoints and moduli""; ""3.5. The polar decomposition""; ""3.6. Fredholm directed trees""; ""Chapter 4. Inclusions of Domains""; ""4.1. When is D(S) D(S*)?""; ""4.2. When is D(S*) D(S)?""; ""4.3. An example""; ""Chapter 5. Hyponormality and Cohyponormality""; ""5.1. Hyponormality""; ""5.2. Cohyponormality""; ""5.3. Examples""

""Chapter 6. Subnormality""""6.1. A general approach""; ""6.2. Subnormality on assorted directed trees""; ""6.3. Modelling subnormality on T,""; ""Chapter 7. Complete Hyperexpansivity""; ""7.1. A general approach""; ""7.2. Complete hyperexpansivity on T, ""; ""7.3. Modelling complete hyperexpansivity on T,""; ""7.4. Completion of weights on T,""; ""7.5. Graph extensions""; ""Chapter 8. Miscellanea""; ""8.1. Admissibility of assorted weighted shifts""; ""8.2. p-hyponormality""; ""Bibliography""; ""List of symbols""