03247nam 2200613 450 991082906860332120170822144321.01-4704-0578-4(CKB)3360000000465148(EBL)3114138(SSID)ssj0000889130(PQKBManifestationID)11479159(PQKBTitleCode)TC0000889130(PQKBWorkID)10875173(PQKB)10346621(MiAaPQ)EBC3114138(RPAM)16096496(PPN)195418549(EXLCZ)99336000000046514820150417h20092009 uy 0engur|n|---|||||txtccrOperator theory on noncommutative domains /Gelu PopescuProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (124 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 205, Number 964"Volume 205, Number 964 (third of 5 numbers)."0-8218-4710-4 Includes bibliographical references.""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Operator algebras associated with noncommutative domains""; ""1.1. The noncommutative domain Df and a universal model""; ""1.2. The domain algebra An(Df) and its representations""; ""1.3. The Hardy algebra Fn(Df)""; ""1.4. Functional calculus for n-tuples of operators in Df""; ""1.5. The noncommutative variety Vf,J and a functional calculus""; ""1.6. Weighted shifts, symmetric weighted Fock spaces, and multipliers""; ""Chapter 2. Free holomorphic functions on noncommutative domains""""2.1. Free holomorphic functions and Poisson transforms""""2.2. Schwarz lemma and Bohr's inequality for Fn(Df) ""; ""2.3. Weierstrass and Montel theorems for the algebra Hol(Df)""; ""2.4. Cauchy transforms and analytic functional calculus for n-tuples of operators""; ""Chapter 3. Model theory and unitary invariants on noncommutative domains""; ""3.1. Weighted shifts and invariant subspaces""; ""3.2. C*-algebras associated with noncommutative varieties and Wold decompositions""; ""3.3. Dilations on noncommutative domains and varieties""; ""3.4. Characteristic functions and model theory""""3.5. Curvature invariant for n-tuples of operators in Dp""""Chapter 4. Commutant lifting and applications""; ""4.1. Interpolation on noncommutative domains""; ""4.2. Corona theorem for a class of Hardy algebras""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 205, Number 964.Ergodic theoryLinear operatorsDilation theory (Operator theory)Noncommutative algebrasErgodic theory.Linear operators.Dilation theory (Operator theory)Noncommutative algebras.515.724Popescu Gelu1958-1644415MiAaPQMiAaPQMiAaPQBOOK9910829068603321Operator theory on noncommutative domains4113377UNINA