In this note, we show that a Cowen-Douglas operator is strongly irreducible if and only if its commutant algebra rood its Jocobson radical is isomorphic to a closed subalgebra of H^∞ （D）, where D is the open unit d...In this note, we show that a Cowen-Douglas operator is strongly irreducible if and only if its commutant algebra rood its Jocobson radical is isomorphic to a closed subalgebra of H^∞ （D）, where D is the open unit disk, and H^∞（D） denotes the collection of bounded holomorphic functions on D.展开更多
基金the National Natural Science Foundation of China （No. 10571041） the Natural Science Foundation of Hebei Province （No. A2005000006）.
文摘In this note, we show that a Cowen-Douglas operator is strongly irreducible if and only if its commutant algebra rood its Jocobson radical is isomorphic to a closed subalgebra of H^∞ （D）, where D is the open unit disk, and H^∞（D） denotes the collection of bounded holomorphic functions on D.
