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Köthe coechelon spaces as locally convex algebras

José Bonet, Paweł Domański (2010)

Studia Mathematica

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 -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...

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