Quadratic Integrals and Factorization of Linear Operators |
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Authors: | Blower Gordon |
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Affiliation: | Department of Mathematics and Statistics, Lancaster University Lancaster LA1 4YF |
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Abstract: | We consider operators on the matrix-valued disc algebra. Weshow that any bounded linear operator to a Banach space X of cotype 2 induces a boundedoperator GX defined on some weighted Bergman space G on theunit disc. We give sufficient conditions on the weight forthe formal inclusion to be 2C*-summing. Decompositions of T with respect to operator-valuedmeasures are obtained. |
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