Theoretical analysis demonstrates a positive solution to norm-controlled inversion in integrable function algebras, indicating unconditional invertibility without classical constraints.
In this paper, we study the norm‐controlled inversion problem in two classes of algebras of integrable functions. In contrast of the classical case of , we prove that this problem has a positive solution in our setting without any additional restrictions.
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Przemysław Ohrysko (2026) studied this question.
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