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Weighted Shifts on Directed Trees.

Jabłoński, Zenon Jan.

Weighted Shifts on Directed Trees. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society ; v.216 . - Memoirs of the American Mathematical Society .

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.

9780821885277


Linear operators.
Operator theory.
Moment problems (Mathematics).


Electronic books.

QA329.2 -- .J335 2012eb

515/.7246

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