Continuous norms on Fréchet lattices
Consider the question: Must a Fréchet space with no continuous norm be isomorphic to a product of Fréchet spaces with continuous norm? The author shows that the answer is yes for order complete Fréchet lattices with the weak-Fatou property and for biduals of Fréchet lattices; the product terms are bands. Finally, he shows that an order continuous lattice structure can be defined on a Fréchet space with an unconditional basis.
order complete Fréchet lattices with the weak-Fatou property
Fréchet space with an unconditional basis
scientific article; zbMATH DE number 4118964