The Nevanlinna–Pick norm conjecture for commutative Banach algebras

Let AA be a commutative Banach algebra with the Nevanlinna–Pick property represented by ANPA\in NP_{\infty}. Nevanlinna–Pick norm conjecture. If ANPA\in NP_{\infty}, then AA is a CC^{\ast}-algebra. The paper presents this as the most general conjecture; it is known when the Gelfand space of AA is countable, while the general case remains open.

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Primary source

Przemysław Ohrysko and Michał Wojciechowski, “Nevanlinna–Pick norms: towards a scattered–Cantor dichotomy for spectra of commutative Banach algebras”, arXiv:2512.19385 (2026).

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