Banach algebra structure on simple extensions

Authors: SARA EL KINANI

Abstract: We study the existence of Banach algebra structures on simple extensions of a unitary commutative Banach algebra. The link with the integrality of these extensions is studied. For any simple extension, a characterization of the existence of the Banach algebra norm making continuous the canonical injection is also given.

Keywords: Banach algebra structure, ideal, principal ideal, unitary polynomial, simple extension, canonical injection, integral extension

Full Text: PDF