On locally pseudoconvex square algebras

Autores: Jorma Arhippainen
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 39, Nº 1, 1995, págs. 89-93
Idioma: inglés
DOI: 10.5565/publmat_39195_06
Títulos paralelos:
- Algebras de cuadrado pseudoconvexas localmente
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Resumen
- Let $A$ be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family $\Cal{Q}= \{q_\lambda |\lambda\in\Lambda\}$ of square preserving $r_\lambda$-homogeneous seminorms ($r_\lambda \in (0,1]$). We shall show that $(A,T(\Cal{Q}))$ is a locally m-convex algebra. Furthermore we shall show that $A$ is commutative.