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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOperator theory on noncommutative domains /$fGelu Popescu
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$dİ2009
215   $a1 online resource (124 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 205, Number 964
300   $a"Volume 205, Number 964 (third of 5 numbers)."
311   $a0-8218-4710-4 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""3.5. Curvature invariant for n-tuples of operators in Dp""""Chapter 4. Commutant lifting and applications""; ""4.1. Interpolation on noncommutative domains""; ""4.2. Corona theorem for a class of Hardy algebras""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 205, Number 964.
606   $aErgodic theory
606   $aLinear operators
606   $aDilation theory (Operator theory)
606   $aNoncommutative algebras
608   $aElectronic books.
615  0$aErgodic theory.
615  0$aLinear operators.
615  0$aDilation theory (Operator theory)
615  0$aNoncommutative algebras.
676   $a515.724
700   $aPopescu$b Gelu$f1958-$0874448
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480404803321
996   $aOperator theory on noncommutative domains$91952510
997   $aUNINA