Advanced International Journal for Research

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Approximate and Weak Separation in Cartesian Products of Function Algebras

Author(s) Dr. Dipti R. Patel
Country India
Abstract Classical separation properties, including regularity and normality, have been widely studied within the framework of commutative Banach algebras and function algebras. In this paper, we extend these investigations to Cartesian products of function algebras by considering their generalized forms: approximate regularity, approximate normality, and weak regularity. We examine the interrelations among these properties and establish conditions characterizing their validity in the product setting.
Keywords Approximate regularity, Approximate normality, Weak regularity
Field Mathematics
Published In Volume 6, Issue 4, July-August 2025
Published On 2025-08-30
DOI https://doi.org/10.63363/aijfr.2025.v06i04.1201
Short DOI https://doi.org/g9zx9b
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