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Quadratic integrals and factorization of linear operators

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>1/10/1997
<mark>Journal</mark>Journal of the London Mathematical Society
Issue number2
Volume56
Number of pages14
Pages (from-to)333-346
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We consider operators on the matrix-valued disc algebra. We show that any bounded linear operator T: A ⊗̄ script K → X to a Banach space X of cotype 2 induces a bounded operator Gv → X defined on some weighted Bergman space Gv on the unit disc. We give sufficient conditions on the weight v for the formal inclusion A ⊗̄ script K → Gv, to be 2-C*-summing. Decompositions of T with respect to operator-valued measures are obtained.