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Interpolation and Balls in C^k

Vern I. Paulsen·James P. Solazzo
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Abstract

We compare and classify various types of Banach algebra norms on mathbb{C}^k through geometric properties of their unit balls. This study is motivated by various open problems in interpolation theory and in the isometric characterization of operator algebra norms.

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Vern I. Paulsen, James P. Solazzo. 2006-04-23. Interpolation and Balls in C^k. https://arxiv.org/abs/math/0604497

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