Quadratic integrals and factorization of linear operators

Blower, Gordon (1997) Quadratic integrals and factorization of linear operators. Journal of the London Mathematical Society, 56 (2). pp. 333-346. ISSN 0024-6107

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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.

Item Type: Journal Article
Journal or Publication Title: Journal of the London Mathematical Society
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code: 136799
Deposited By: ep_importer_pure
Deposited On: 23 Sep 2019 08:40
Refereed?: Yes
Published?: Published
Last Modified: 19 Nov 2019 01:59
URI: https://eprints.lancs.ac.uk/id/eprint/136799

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