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The Commutant Of A Certain Compression, William T. Ross
The Commutant Of A Certain Compression, William T. Ross
Department of Math & Statistics Faculty Publications
Let G be any bounded region in the complex plane and K Ϲ G be a simple compact arc of class C1. Let A2(G\K) (resp. A2(G)) be the Bergman space on G\K (resp. G). Let S be the operator multiplication by z on A2(G\K) and C = PN S│N be the compression of S to the semi-invariant subspace N = A2(G\K) Ɵ A2(G). We show that the commutant of C* is the set of all operators …