Interpolation and Balls in C^k

2006/04/23 by Vern I. Paulsen, Paulsen, Vern I., James P. Solazzo +1 · 1 citation
Mathematics · #46A22 #46H25 #46L05 (primary) #46M10 (secondary #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46A22 #msc:46H25 #msc:46L05 #msc:46M10

paper · pdf · doi:10.48550/arxiv.math/0604497

arxiv created 2006/04/23 · openalex publication_date 2006/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare and classify various types of Banach algebra norms on mathbbC^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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