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Weighted Shifts on Directed Trees.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2012Copyright date: ©2012Edition: 1st edDescription: 1 online resource (122 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821885277
Subject(s): Genre/Form: Additional physical formats: Print version:: Weighted Shifts on Directed TreesDDC classification:
  • 515/.7246
LOC classification:
  • QA329.2 -- .J335 2012eb
Online resources:
Contents:
Intro -- 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.
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Intro -- 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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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