A Lifting Result for Locally Pseudo-Convex Subspaces of L₀

• Autorzy: Félix Cabello Sánchez
• Języki publikacji: EN

Abstrakty

EN

It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.

Kategorie tematyczne

• 46A22: Theorems of Hahn-Banach type; extension and lifting of functionals and operators
• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 3
• Strony: 231-236

Daty

wydano

2006

Twórcy

autor

Félix Cabello Sánchez

• Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071 Badajoz, Spain

Identyfikatory

DOI

10.4064/ba54-3-5