03002nam 2200601 450 991078861790332120210713000426.00-8218-8527-8(CKB)3360000000464077(EBL)3114576(SSID)ssj0000889307(PQKBManifestationID)11449093(PQKBTitleCode)TC0000889307(PQKBWorkID)10876208(PQKB)10657869(MiAaPQ)EBC3114576(RPAM)17096724(PPN)195419065(EXLCZ)99336000000046407720150416h20112011 uy 0engur|n|---|||||txtccrWeighted shifts on directed trees /Zenon Jan Jablónski, Il Bong Jung, Jan StochelProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (107 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 216, Number 1017"March 2012, Volume 216, Number 1017 (third of 4 numbers)."0-8218-6868-3 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 216, Number 1017.Linear operatorsOperator theoryMoment problems (Mathematics)Linear operators.Operator theory.Moment problems (Mathematics)515/.7246Jablónski Zenon Jan1973-1542992Jung Il Bong1954-Stochel Jan1951-MiAaPQMiAaPQMiAaPQBOOK9910788617903321Weighted shifts on directed trees3796226UNINA