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Factorization of Analytic Functions and Operator Inequalities |
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| Authors: | Robert B Leech |
| Institution: | 1. 12318 Franklin Street, Omaha, NE, 68154, USA |
| Abstract: | If A and B are contraction operators on a Hilbert space ${\mathcal{H}}$ that commute with a shift operator S, it is shown that A = BC for some contraction operator C on ${\mathcal{H}}$ that commutes with S if and only if ${AA^{*} \leq BB^{*}}$ . |
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