Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Quadratic integrals and factorization of linear operators
AU - Blower, Gordon
PY - 1997/10/1
Y1 - 1997/10/1
N2 - 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.
AB - 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.
U2 - 10.1112/S0024610797005516
DO - 10.1112/S0024610797005516
M3 - Journal article
AN - SCOPUS:0002317738
VL - 56
SP - 333
EP - 346
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 2
ER -