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math.FA2019
On the intersection of principal ideals in function spaces
Bulat Khabibullin, Enzhe Khabibullina
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 ho…
math.FA2018
Order version of the Hahn-Banach theorem, and envelopes. II. Applications to the function theory
B. N. Khabibullin, A. P. Rozit, E. B. Khabibullina
Chapter 1 deals with the problem of the existence of an upper/lower envelope from a convex cone or, more generally, a convex set for functions on the projective limit of vector lat…