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math.FA2023
Algebras of Polynomials Generated by Linear Operators
F. Zaj, M. Abtahi
Let be a Banach space and be a commutative Banach algebra with identity. Let be the space of -valued polynomials on generated by bounded linear operators…
math.FA2023
Regularity conditions for vector-valued function algebras
Z. Barqi, M. Abtahi
We consider several notions of regularity, including strong regularity, bounded relative units, and Ditkin's condition, in the setting of vector-valued function algebras. Given a c…