TY  - BOOK
AU  - Jabłoński,Zenon Jan
AU  - Jung,Il Bong
AU  - Stochel,Jan
TI  - Weighted Shifts on Directed Trees
T2  - Memoirs of the American Mathematical Society
SN  - 9780821885277
AV  - QA329.2 -- .J335 2012eb 
U1  - 515/.7246 
PY  - 2012///
CY  - Providence
PB  - American Mathematical Society
KW  - Linear operators
KW  - Operator theory
KW  - Moment problems (Mathematics)
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114576
ER  -