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• # Artykuł - szczegóły

## Studia Mathematica

2010 | 199 | 3 | 241-265

## Köthe coechelon spaces as locally convex algebras

EN

### Abstrakty

EN
We study those Köthe coechelon sequence spaces $k_{p}(V)$, 1 ≤ p ≤ ∞ or p = 0, which are locally convex (Riesz) algebras for pointwise multiplication. We characterize in terms of the matrix V = (vₙ)ₙ when an algebra $k_{p}(V)$ is unital, locally m-convex, a 𝒬-algebra, has a continuous (quasi)-inverse, all entire functions act on it or some transcendental entire functions act on it. It is proved that all multiplicative functionals are continuous and a precise description of all regular and all degenerate maximal ideals is given even for arbitrary solid algebras of sequences with pointwise multiplication. In particular, it is shown that all regular maximal ideals are solid.

241-265

wydano
2010

### Twórcy

autor
• Instituto Universitario de Matemática, Pura y Aplicada IUMPA, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
autor
• Faculty of Mathematics and Computer Science, A. Mickiewicz University Poznań, Umultowska 87, 61-614 Poznań, Poland