A real p-homogeneous seminorm with square property is submultiplicative

Mohammed El Azhari (1)

1 UM5 - Université Mohammed V de Rabat [Agdal]

We give a functional representation theorem for a class of real p-Banach algebras. This theorem is used to show that every p-homogeneous seminorm with square property on a real associative algebra is submultiplicative.

Mots clés: Functional representation; submultiplicative; square property; p-homogeneous seminorm

Domaines: Analyse fonctionnelle [math.FA]

Mohammed El Azhari. A real p-homogeneous seminorm with square property is submultiplicative. Advances in Pure Mathematics, 2013, 3 (8), pp.660-665. ⟨10.4236/apm.2013.38088⟩. ⟨hal-01145773⟩