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.

DOI

10.3906/mat-2007-58

Keywords

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

First Page

2276

Last Page

2283

Recommended Citation

KINANI, S. E (2020). Banach algebra structure on simple extensions. Turkish Journal of Mathematics 44 (6): 2276-2283. https://doi.org/10.3906/mat-2007-58

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