Geodesic
DITKIN CONDITIONS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 153-163

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is about the connection between certain Banach-algebraic properties of a commutative Banach algebra E with unit and the associated commutative Banach algebra C(X, E) of all continuous functions from a compact Hausdorff space X into E. The properties concern Ditkin's condition and bounded relative units. We show that these properties are shared by E and C(X, E). We also consider the relationship between these properties in the algebras E, B and $\~{B}$ that appear in the so-called admissible quadruples (X, E, B, $\~{B}$ ). 
NIKOU, AZADEH; O'FARRELL, ANTHONY G. DITKIN CONDITIONS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 153-163. doi: 10.1017/S0017089516000628
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