On the Krull intersection theorem in function algebras

DOI10.2989/16073606.2017.1289482zbMath1429.46035arXiv1605.08204OpenAlexW2963033365MaRDI QIDQ5236073

Raymond Mortini, Rudolf Rupp, Amol J. Sasane

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08204

zbMATH Keywords

bounded analytic functionsfunction algebrasKrull intersection theorem

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• Un example d'algèbre de Banach commutative radicale a unité approchée bornée sans multiplicateur non trival.
• Approximate identities in Banach function algebras
• An Elementary Proof of Krull's Intersection Theorem
• Factorization for bounded analytic functions in the unit disk and an application to prime ideals
• Hilbert's Nullstellensatz in Infinite-Dimensional Space

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