A Hilbert Space Approach to Bounded Analytic Interpolation |
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| Authors: | Jeffrey Danciger Simon Rubinstein-Salzedo |
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| Affiliation: | (1) Department of Mathematics, Stanford University, Stanford, CA 94305, USA;(2) Department of Mathematics, University of California, Santa Barbara, CA 93106, USA |
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| Abstract: | We generalize several results on bounded analytic interpolation of Fitzgerald and Horn, which work by majorization by positive definite kernels, to the cases of several complex variables and operator-valued interpolation. Using a lemma of Kolmogorov, we complement a simplification due to Szafraniec in the proofs of the theorems. Received: November 21, 2006. Accepted: August 03, 2007. |
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| Keywords: | 30D50 47B65 |
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