On the intersection of principal ideals in function spaces

2019/03/25 by Б. Н. Хабибуллин, Khabibullin, Bulat, E.B. Khabibullina +1
Mathematics · #13A15 #30H50 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1903.11378

openalex publication_date 2019/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a method for constructing principal ideals in spaces of real functions whose intersection is not a finitely generated ideal. This problem is also discussed for spaces of holomorphic functions.

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